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Finding the Third Proportional to 266,962.50 and 567,837

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Solution

The third proportional to 266,962.50 and 567,837 is: 1,207,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,962.50 : 567,837 = 567,837 : x
  2. Step 2: Convert to fraction form
    266,962.50/567,837 = 567,837/x
  3. Step 3: Cross multiply
    266,962.50x = 567,837 × 567,837
  4. Step 4: Simplify right side
    266,962.50x = 322,438,858,569
  5. Step 5: Solve for x
    x = 322,438,858,569/266,962.50
  6. Step 6: Final answer
    x = 1,207,805.81

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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.