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Finding the Third Proportional to 726.94 and 1,417.88

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Solution

The third proportional to 726.94 and 1,417.88 is: 2,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 1,417.88 = 1,417.88 : x
  2. Step 2: Convert to fraction form
    726.94/1,417.88 = 1,417.88/x
  3. Step 3: Cross multiply
    726.94x = 1,417.88 × 1,417.88
  4. Step 4: Simplify right side
    726.94x = 2,010,369.52
  5. Step 5: Solve for x
    x = 2,010,369.52/726.94
  6. Step 6: Final answer
    x = 2,765.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.