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Finding the Third Proportional to 555,472 and 829,567

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Solution

The third proportional to 555,472 and 829,567 is: 1,238,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,472 : 829,567 = 829,567 : x
  2. Step 2: Convert to fraction form
    555,472/829,567 = 829,567/x
  3. Step 3: Cross multiply
    555,472x = 829,567 × 829,567
  4. Step 4: Simplify right side
    555,472x = 688,181,407,489
  5. Step 5: Solve for x
    x = 688,181,407,489/555,472
  6. Step 6: Final answer
    x = 1,238,912.87

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Why These Related Problems?

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