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Finding the Third Proportional to 387,746 and 558,472

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Solution

The third proportional to 387,746 and 558,472 is: 804,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,746 : 558,472 = 558,472 : x
  2. Step 2: Convert to fraction form
    387,746/558,472 = 558,472/x
  3. Step 3: Cross multiply
    387,746x = 558,472 × 558,472
  4. Step 4: Simplify right side
    387,746x = 311,890,974,784
  5. Step 5: Solve for x
    x = 311,890,974,784/387,746
  6. Step 6: Final answer
    x = 804,369.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.