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Finding the Third Proportional to 604.13 and 928.31

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Solution

The third proportional to 604.13 and 928.31 is: 1,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.13 : 928.31 = 928.31 : x
  2. Step 2: Convert to fraction form
    604.13/928.31 = 928.31/x
  3. Step 3: Cross multiply
    604.13x = 928.31 × 928.31
  4. Step 4: Simplify right side
    604.13x = 861,764.10
  5. Step 5: Solve for x
    x = 861,764.10/604.13
  6. Step 6: Final answer
    x = 1,426.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.