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Finding the Third Proportional to 266,963.50 and 567,839

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Solution

The third proportional to 266,963.50 and 567,839 is: 1,207,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,963.50 : 567,839 = 567,839 : x
  2. Step 2: Convert to fraction form
    266,963.50/567,839 = 567,839/x
  3. Step 3: Cross multiply
    266,963.50x = 567,839 × 567,839
  4. Step 4: Simplify right side
    266,963.50x = 322,441,129,921
  5. Step 5: Solve for x
    x = 322,441,129,921/266,963.50
  6. Step 6: Final answer
    x = 1,207,809.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.