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Finding the Third Proportional to 726.19 and 1,153.69

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Solution

The third proportional to 726.19 and 1,153.69 is: 1,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.19 : 1,153.69 = 1,153.69 : x
  2. Step 2: Convert to fraction form
    726.19/1,153.69 = 1,153.69/x
  3. Step 3: Cross multiply
    726.19x = 1,153.69 × 1,153.69
  4. Step 4: Simplify right side
    726.19x = 1,330,994.85
  5. Step 5: Solve for x
    x = 1,330,994.85/726.19
  6. Step 6: Final answer
    x = 1,832.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.