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Finding the Third Proportional to 327,482,649 and 710,219,938.50

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Solution

The third proportional to 327,482,649 and 710,219,938.50 is: 1,540,272,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,482,649 : 710,219,938.50 = 710,219,938.50 : x
  2. Step 2: Convert to fraction form
    327,482,649/710,219,938.50 = 710,219,938.50/x
  3. Step 3: Cross multiply
    327,482,649x = 710,219,938.50 × 710,219,938.50
  4. Step 4: Simplify right side
    327,482,649x = 504,412,361,042,943,808
  5. Step 5: Solve for x
    x = 504,412,361,042,943,808/327,482,649
  6. Step 6: Final answer
    x = 1,540,272,019.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.