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Finding the Third Proportional to 487.25 and 729.25

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Solution

The third proportional to 487.25 and 729.25 is: 1,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.25 : 729.25 = 729.25 : x
  2. Step 2: Convert to fraction form
    487.25/729.25 = 729.25/x
  3. Step 3: Cross multiply
    487.25x = 729.25 × 729.25
  4. Step 4: Simplify right side
    487.25x = 531,805.56
  5. Step 5: Solve for x
    x = 531,805.56/487.25
  6. Step 6: Final answer
    x = 1,091.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.