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Finding the Third Proportional to 438,974,777 and 597,910,514

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Solution

The third proportional to 438,974,777 and 597,910,514 is: 814,390,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,974,777 : 597,910,514 = 597,910,514 : x
  2. Step 2: Convert to fraction form
    438,974,777/597,910,514 = 597,910,514/x
  3. Step 3: Cross multiply
    438,974,777x = 597,910,514 × 597,910,514
  4. Step 4: Simplify right side
    438,974,777x = 357,496,982,751,744,192
  5. Step 5: Solve for x
    x = 357,496,982,751,744,192/438,974,777
  6. Step 6: Final answer
    x = 814,390,715.56

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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.