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Finding the Third Proportional to 266,963.75 and 567,839.50

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Solution

The third proportional to 266,963.75 and 567,839.50 is: 1,207,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,963.75 : 567,839.50 = 567,839.50 : x
  2. Step 2: Convert to fraction form
    266,963.75/567,839.50 = 567,839.50/x
  3. Step 3: Cross multiply
    266,963.75x = 567,839.50 × 567,839.50
  4. Step 4: Simplify right side
    266,963.75x = 322,441,697,760.25
  5. Step 5: Solve for x
    x = 322,441,697,760.25/266,963.75
  6. Step 6: Final answer
    x = 1,207,810.79

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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.