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Finding the Third Proportional to 462.94 and 625.78

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Solution

The third proportional to 462.94 and 625.78 is: 845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 625.78 = 625.78 : x
  2. Step 2: Convert to fraction form
    462.94/625.78 = 625.78/x
  3. Step 3: Cross multiply
    462.94x = 625.78 × 625.78
  4. Step 4: Simplify right side
    462.94x = 391,602.17
  5. Step 5: Solve for x
    x = 391,602.17/462.94
  6. Step 6: Final answer
    x = 845.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.