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Finding the Third Proportional to 372.66 and 804.66

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Solution

The third proportional to 372.66 and 804.66 is: 1,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.66 : 804.66 = 804.66 : x
  2. Step 2: Convert to fraction form
    372.66/804.66 = 804.66/x
  3. Step 3: Cross multiply
    372.66x = 804.66 × 804.66
  4. Step 4: Simplify right side
    372.66x = 647,471.68
  5. Step 5: Solve for x
    x = 647,471.68/372.66
  6. Step 6: Final answer
    x = 1,737.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.