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Finding the Third Proportional to 417.66 and 912.52

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Solution

The third proportional to 417.66 and 912.52 is: 1,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 912.52 = 912.52 : x
  2. Step 2: Convert to fraction form
    417.66/912.52 = 912.52/x
  3. Step 3: Cross multiply
    417.66x = 912.52 × 912.52
  4. Step 4: Simplify right side
    417.66x = 832,684.77
  5. Step 5: Solve for x
    x = 832,684.77/417.66
  6. Step 6: Final answer
    x = 1,993.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.