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Finding the Third Proportional to 261,387.75 and 571,982.25

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Solution

The third proportional to 261,387.75 and 571,982.25 is: 1,251,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,387.75 : 571,982.25 = 571,982.25 : x
  2. Step 2: Convert to fraction form
    261,387.75/571,982.25 = 571,982.25/x
  3. Step 3: Cross multiply
    261,387.75x = 571,982.25 × 571,982.25
  4. Step 4: Simplify right side
    261,387.75x = 327,163,694,315.06
  5. Step 5: Solve for x
    x = 327,163,694,315.06/261,387.75
  6. Step 6: Final answer
    x = 1,251,641.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.