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Finding the Third Proportional to 417.75 and 646.75

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Solution

The third proportional to 417.75 and 646.75 is: 1,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 646.75 = 646.75 : x
  2. Step 2: Convert to fraction form
    417.75/646.75 = 646.75/x
  3. Step 3: Cross multiply
    417.75x = 646.75 × 646.75
  4. Step 4: Simplify right side
    417.75x = 418,285.56
  5. Step 5: Solve for x
    x = 418,285.56/417.75
  6. Step 6: Final answer
    x = 1,001.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.