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Finding the Third Proportional to 438,974,768.25 and 597,910,500

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Solution

The third proportional to 438,974,768.25 and 597,910,500 is: 814,390,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,974,768.25 : 597,910,500 = 597,910,500 : x
  2. Step 2: Convert to fraction form
    438,974,768.25/597,910,500 = 597,910,500/x
  3. Step 3: Cross multiply
    438,974,768.25x = 597,910,500 × 597,910,500
  4. Step 4: Simplify right side
    438,974,768.25x = 357,496,966,010,249,984
  5. Step 5: Solve for x
    x = 357,496,966,010,249,984/438,974,768.25
  6. Step 6: Final answer
    x = 814,390,693.65

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