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Finding the Third Proportional to 726.75 and 795.38

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Solution

The third proportional to 726.75 and 795.38 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 795.38 = 795.38 : x
  2. Step 2: Convert to fraction form
    726.75/795.38 = 795.38/x
  3. Step 3: Cross multiply
    726.75x = 795.38 × 795.38
  4. Step 4: Simplify right side
    726.75x = 632,621.39
  5. Step 5: Solve for x
    x = 632,621.39/726.75
  6. Step 6: Final answer
    x = 870.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.