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Finding the Third Proportional to 386,694 and 597,537

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Solution

The third proportional to 386,694 and 597,537 is: 923,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,694 : 597,537 = 597,537 : x
  2. Step 2: Convert to fraction form
    386,694/597,537 = 597,537/x
  3. Step 3: Cross multiply
    386,694x = 597,537 × 597,537
  4. Step 4: Simplify right side
    386,694x = 357,050,466,369
  5. Step 5: Solve for x
    x = 357,050,466,369/386,694
  6. Step 6: Final answer
    x = 923,341.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.