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Finding the Third Proportional to 417.52 and 766.55

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Solution

The third proportional to 417.52 and 766.55 is: 1,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 766.55 = 766.55 : x
  2. Step 2: Convert to fraction form
    417.52/766.55 = 766.55/x
  3. Step 3: Cross multiply
    417.52x = 766.55 × 766.55
  4. Step 4: Simplify right side
    417.52x = 587,594.11
  5. Step 5: Solve for x
    x = 587,594.11/417.52
  6. Step 6: Final answer
    x = 1,407.36

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.