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Finding the Third Proportional to 266,432.50 and 557,497

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Solution

The third proportional to 266,432.50 and 557,497 is: 1,166,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,432.50 : 557,497 = 557,497 : x
  2. Step 2: Convert to fraction form
    266,432.50/557,497 = 557,497/x
  3. Step 3: Cross multiply
    266,432.50x = 557,497 × 557,497
  4. Step 4: Simplify right side
    266,432.50x = 310,802,905,009
  5. Step 5: Solve for x
    x = 310,802,905,009/266,432.50
  6. Step 6: Final answer
    x = 1,166,535.26

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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.