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Finding the Third Proportional to 921.16 and 1,294.73

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Solution

The third proportional to 921.16 and 1,294.73 is: 1,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.16 : 1,294.73 = 1,294.73 : x
  2. Step 2: Convert to fraction form
    921.16/1,294.73 = 1,294.73/x
  3. Step 3: Cross multiply
    921.16x = 1,294.73 × 1,294.73
  4. Step 4: Simplify right side
    921.16x = 1,676,337.10
  5. Step 5: Solve for x
    x = 1,676,337.10/921.16
  6. Step 6: Final answer
    x = 1,819.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.