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Finding the Third Proportional to 414.81 and 909.35

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Solution

The third proportional to 414.81 and 909.35 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.81 : 909.35 = 909.35 : x
  2. Step 2: Convert to fraction form
    414.81/909.35 = 909.35/x
  3. Step 3: Cross multiply
    414.81x = 909.35 × 909.35
  4. Step 4: Simplify right side
    414.81x = 826,920.26
  5. Step 5: Solve for x
    x = 826,920.26/414.81
  6. Step 6: Final answer
    x = 1,993.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.