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Finding the Third Proportional to 726.38 and 1,111.31

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Solution

The third proportional to 726.38 and 1,111.31 is: 1,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.38 : 1,111.31 = 1,111.31 : x
  2. Step 2: Convert to fraction form
    726.38/1,111.31 = 1,111.31/x
  3. Step 3: Cross multiply
    726.38x = 1,111.31 × 1,111.31
  4. Step 4: Simplify right side
    726.38x = 1,235,015.47
  5. Step 5: Solve for x
    x = 1,235,015.47/726.38
  6. Step 6: Final answer
    x = 1,700.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.