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Finding the Third Proportional to 256,721.91 and 572,472.56

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Solution

The third proportional to 256,721.91 and 572,472.56 is: 1,276,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,721.91 : 572,472.56 = 572,472.56 : x
  2. Step 2: Convert to fraction form
    256,721.91/572,472.56 = 572,472.56/x
  3. Step 3: Cross multiply
    256,721.91x = 572,472.56 × 572,472.56
  4. Step 4: Simplify right side
    256,721.91x = 327,724,834,815.32
  5. Step 5: Solve for x
    x = 327,724,834,815.32/256,721.91
  6. Step 6: Final answer
    x = 1,276,575.26

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.