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Finding the Third Proportional to 438,974,770 and 597,910,503

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Solution

The third proportional to 438,974,770 and 597,910,503 is: 814,390,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,974,770 : 597,910,503 = 597,910,503 : x
  2. Step 2: Convert to fraction form
    438,974,770/597,910,503 = 597,910,503/x
  3. Step 3: Cross multiply
    438,974,770x = 597,910,503 × 597,910,503
  4. Step 4: Simplify right side
    438,974,770x = 357,496,969,597,713,024
  5. Step 5: Solve for x
    x = 357,496,969,597,713,024/438,974,770
  6. Step 6: Final answer
    x = 814,390,698.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.