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Finding the Third Proportional to 414.81 and 609.40

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Solution

The third proportional to 414.81 and 609.40 is: 895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.81 : 609.40 = 609.40 : x
  2. Step 2: Convert to fraction form
    414.81/609.40 = 609.40/x
  3. Step 3: Cross multiply
    414.81x = 609.40 × 609.40
  4. Step 4: Simplify right side
    414.81x = 371,366.46
  5. Step 5: Solve for x
    x = 371,366.46/414.81
  6. Step 6: Final answer
    x = 895.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.