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Finding the Third Proportional to 487.25 and 1,029.25

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Solution

The third proportional to 487.25 and 1,029.25 is: 2,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.25 : 1,029.25 = 1,029.25 : x
  2. Step 2: Convert to fraction form
    487.25/1,029.25 = 1,029.25/x
  3. Step 3: Cross multiply
    487.25x = 1,029.25 × 1,029.25
  4. Step 4: Simplify right side
    487.25x = 1,059,355.56
  5. Step 5: Solve for x
    x = 1,059,355.56/487.25
  6. Step 6: Final answer
    x = 2,174.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.