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Finding the Third Proportional to 415.75 and 646.38

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Solution

The third proportional to 415.75 and 646.38 is: 1,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 646.38 = 646.38 : x
  2. Step 2: Convert to fraction form
    415.75/646.38 = 646.38/x
  3. Step 3: Cross multiply
    415.75x = 646.38 × 646.38
  4. Step 4: Simplify right side
    415.75x = 417,800.64
  5. Step 5: Solve for x
    x = 417,800.64/415.75
  6. Step 6: Final answer
    x = 1,004.93

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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.