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Finding the Third Proportional to 788.17 and 932.45

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Solution

The third proportional to 788.17 and 932.45 is: 1,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.17 : 932.45 = 932.45 : x
  2. Step 2: Convert to fraction form
    788.17/932.45 = 932.45/x
  3. Step 3: Cross multiply
    788.17x = 932.45 × 932.45
  4. Step 4: Simplify right side
    788.17x = 869,461.55
  5. Step 5: Solve for x
    x = 869,461.55/788.17
  6. Step 6: Final answer
    x = 1,103.14

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.