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Finding the Third Proportional to 266,969 and 567,849

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Solution

The third proportional to 266,969 and 567,849 is: 1,207,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,969 : 567,849 = 567,849 : x
  2. Step 2: Convert to fraction form
    266,969/567,849 = 567,849/x
  3. Step 3: Cross multiply
    266,969x = 567,849 × 567,849
  4. Step 4: Simplify right side
    266,969x = 322,452,486,801
  5. Step 5: Solve for x
    x = 322,452,486,801/266,969
  6. Step 6: Final answer
    x = 1,207,827.45

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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.