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Finding the Third Proportional to 932.95 and 1,456.17

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Solution

The third proportional to 932.95 and 1,456.17 is: 2,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.95 : 1,456.17 = 1,456.17 : x
  2. Step 2: Convert to fraction form
    932.95/1,456.17 = 1,456.17/x
  3. Step 3: Cross multiply
    932.95x = 1,456.17 × 1,456.17
  4. Step 4: Simplify right side
    932.95x = 2,120,436.53
  5. Step 5: Solve for x
    x = 2,120,436.53/932.95
  6. Step 6: Final answer
    x = 2,272.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.