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Finding the Third Proportional to 415 and 484

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Solution

The third proportional to 415 and 484 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 484 = 484 : x
  2. Step 2: Convert to fraction form
    415/484 = 484/x
  3. Step 3: Cross multiply
    415x = 484 × 484
  4. Step 4: Simplify right side
    415x = 234,256
  5. Step 5: Solve for x
    x = 234,256/415
  6. Step 6: Final answer
    x = 564.47

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.