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Finding the Third Proportional to 600.66 and 925.78

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Solution

The third proportional to 600.66 and 925.78 is: 1,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.66 : 925.78 = 925.78 : x
  2. Step 2: Convert to fraction form
    600.66/925.78 = 925.78/x
  3. Step 3: Cross multiply
    600.66x = 925.78 × 925.78
  4. Step 4: Simplify right side
    600.66x = 857,070.92
  5. Step 5: Solve for x
    x = 857,070.92/600.66
  6. Step 6: Final answer
    x = 1,426.89

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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.