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Finding the Third Proportional to 328,704,500,256 and 706,877,897,491.50

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Solution

The third proportional to 328,704,500,256 and 706,877,897,491.50 is: 1,520,138,487,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,704,500,256 : 706,877,897,491.50 = 706,877,897,491.50 : x
  2. Step 2: Convert to fraction form
    328,704,500,256/706,877,897,491.50 = 706,877,897,491.50/x
  3. Step 3: Cross multiply
    328,704,500,256x = 706,877,897,491.50 × 706,877,897,491.50
  4. Step 4: Simplify right side
    328,704,500,256x = 499,676,361,962,003,588,186,112
  5. Step 5: Solve for x
    x = 499,676,361,962,003,588,186,112/328,704,500,256
  6. Step 6: Final answer
    x = 1,520,138,487,829.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.