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Finding the Third Proportional to 456.47 and 952.17

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Solution

The third proportional to 456.47 and 952.17 is: 1,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 952.17 = 952.17 : x
  2. Step 2: Convert to fraction form
    456.47/952.17 = 952.17/x
  3. Step 3: Cross multiply
    456.47x = 952.17 × 952.17
  4. Step 4: Simplify right side
    456.47x = 906,631.28
  5. Step 5: Solve for x
    x = 906,631.28/456.47
  6. Step 6: Final answer
    x = 1,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.