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Finding the Third Proportional to 417.09 and 550.13

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Solution

The third proportional to 417.09 and 550.13 is: 725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 550.13 = 550.13 : x
  2. Step 2: Convert to fraction form
    417.09/550.13 = 550.13/x
  3. Step 3: Cross multiply
    417.09x = 550.13 × 550.13
  4. Step 4: Simplify right side
    417.09x = 302,637.52
  5. Step 5: Solve for x
    x = 302,637.52/417.09
  6. Step 6: Final answer
    x = 725.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.