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Finding the Third Proportional to 266,432 and 557,496

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Solution

The third proportional to 266,432 and 557,496 is: 1,166,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,432 : 557,496 = 557,496 : x
  2. Step 2: Convert to fraction form
    266,432/557,496 = 557,496/x
  3. Step 3: Cross multiply
    266,432x = 557,496 × 557,496
  4. Step 4: Simplify right side
    266,432x = 310,801,790,016
  5. Step 5: Solve for x
    x = 310,801,790,016/266,432
  6. Step 6: Final answer
    x = 1,166,533.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.