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Finding the Third Proportional to 415 and 448

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Solution

The third proportional to 415 and 448 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 448 = 448 : x
  2. Step 2: Convert to fraction form
    415/448 = 448/x
  3. Step 3: Cross multiply
    415x = 448 × 448
  4. Step 4: Simplify right side
    415x = 200,704
  5. Step 5: Solve for x
    x = 200,704/415
  6. Step 6: Final answer
    x = 483.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.