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Finding the Third Proportional to 782.25 and 1,001.25

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Solution

The third proportional to 782.25 and 1,001.25 is: 1,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,001.25 = 1,001.25 : x
  2. Step 2: Convert to fraction form
    782.25/1,001.25 = 1,001.25/x
  3. Step 3: Cross multiply
    782.25x = 1,001.25 × 1,001.25
  4. Step 4: Simplify right side
    782.25x = 1,002,501.56
  5. Step 5: Solve for x
    x = 1,002,501.56/782.25
  6. Step 6: Final answer
    x = 1,281.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.