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Finding the Third Proportional to 372.33 and 813.01

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Solution

The third proportional to 372.33 and 813.01 is: 1,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.33 : 813.01 = 813.01 : x
  2. Step 2: Convert to fraction form
    372.33/813.01 = 813.01/x
  3. Step 3: Cross multiply
    372.33x = 813.01 × 813.01
  4. Step 4: Simplify right side
    372.33x = 660,978.53
  5. Step 5: Solve for x
    x = 660,978.53/372.33
  6. Step 6: Final answer
    x = 1,775.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.