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Finding the Third Proportional to 266,001 and 591,051

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Solution

The third proportional to 266,001 and 591,051 is: 1,313,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,001 : 591,051 = 591,051 : x
  2. Step 2: Convert to fraction form
    266,001/591,051 = 591,051/x
  3. Step 3: Cross multiply
    266,001x = 591,051 × 591,051
  4. Step 4: Simplify right side
    266,001x = 349,341,284,601
  5. Step 5: Solve for x
    x = 349,341,284,601/266,001
  6. Step 6: Final answer
    x = 1,313,308.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.