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Finding the Third Proportional to 331,634,730 and 709,856,252

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Solution

The third proportional to 331,634,730 and 709,856,252 is: 1,519,430,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,730 : 709,856,252 = 709,856,252 : x
  2. Step 2: Convert to fraction form
    331,634,730/709,856,252 = 709,856,252/x
  3. Step 3: Cross multiply
    331,634,730x = 709,856,252 × 709,856,252
  4. Step 4: Simplify right side
    331,634,730x = 503,895,898,503,487,488
  5. Step 5: Solve for x
    x = 503,895,898,503,487,488/331,634,730
  6. Step 6: Final answer
    x = 1,519,430,424.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.