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Finding the Third Proportional to 414.09 and 615.38

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Solution

The third proportional to 414.09 and 615.38 is: 914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 615.38 = 615.38 : x
  2. Step 2: Convert to fraction form
    414.09/615.38 = 615.38/x
  3. Step 3: Cross multiply
    414.09x = 615.38 × 615.38
  4. Step 4: Simplify right side
    414.09x = 378,686.39
  5. Step 5: Solve for x
    x = 378,686.39/414.09
  6. Step 6: Final answer
    x = 914.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.