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Finding the Third Proportional to 456.75 and 616.78

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Solution

The third proportional to 456.75 and 616.78 is: 832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 616.78 = 616.78 : x
  2. Step 2: Convert to fraction form
    456.75/616.78 = 616.78/x
  3. Step 3: Cross multiply
    456.75x = 616.78 × 616.78
  4. Step 4: Simplify right side
    456.75x = 380,419.11
  5. Step 5: Solve for x
    x = 380,419.11/456.75
  6. Step 6: Final answer
    x = 832.88

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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.