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Finding the Third Proportional to 654.33 and 963.14

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Solution

The third proportional to 654.33 and 963.14 is: 1,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 963.14 = 963.14 : x
  2. Step 2: Convert to fraction form
    654.33/963.14 = 963.14/x
  3. Step 3: Cross multiply
    654.33x = 963.14 × 963.14
  4. Step 4: Simplify right side
    654.33x = 927,639.86
  5. Step 5: Solve for x
    x = 927,639.86/654.33
  6. Step 6: Final answer
    x = 1,417.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.