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Finding the Third Proportional to 417.66 and 613.83

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Solution

The third proportional to 417.66 and 613.83 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 613.83 = 613.83 : x
  2. Step 2: Convert to fraction form
    417.66/613.83 = 613.83/x
  3. Step 3: Cross multiply
    417.66x = 613.83 × 613.83
  4. Step 4: Simplify right side
    417.66x = 376,784.97
  5. Step 5: Solve for x
    x = 376,784.97/417.66
  6. Step 6: Final answer
    x = 902.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.