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Finding the Third Proportional to 398.25 and 615.13

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Solution

The third proportional to 398.25 and 615.13 is: 950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 615.13 = 615.13 : x
  2. Step 2: Convert to fraction form
    398.25/615.13 = 615.13/x
  3. Step 3: Cross multiply
    398.25x = 615.13 × 615.13
  4. Step 4: Simplify right side
    398.25x = 378,378.77
  5. Step 5: Solve for x
    x = 378,378.77/398.25
  6. Step 6: Final answer
    x = 950.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.