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Finding the Third Proportional to 726.56 and 1,614.56

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Solution

The third proportional to 726.56 and 1,614.56 is: 3,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.56 : 1,614.56 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    726.56/1,614.56 = 1,614.56/x
  3. Step 3: Cross multiply
    726.56x = 1,614.56 × 1,614.56
  4. Step 4: Simplify right side
    726.56x = 2,606,812.07
  5. Step 5: Solve for x
    x = 2,606,812.07/726.56
  6. Step 6: Final answer
    x = 3,587.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.