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Finding the Third Proportional to 258,712 and 386,472

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Solution

The third proportional to 258,712 and 386,472 is: 577,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,712 : 386,472 = 386,472 : x
  2. Step 2: Convert to fraction form
    258,712/386,472 = 386,472/x
  3. Step 3: Cross multiply
    258,712x = 386,472 × 386,472
  4. Step 4: Simplify right side
    258,712x = 149,360,606,784
  5. Step 5: Solve for x
    x = 149,360,606,784/258,712
  6. Step 6: Final answer
    x = 577,323.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.