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Finding the Third Proportional to 370.92 and 801.33

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Solution

The third proportional to 370.92 and 801.33 is: 1,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.92 : 801.33 = 801.33 : x
  2. Step 2: Convert to fraction form
    370.92/801.33 = 801.33/x
  3. Step 3: Cross multiply
    370.92x = 801.33 × 801.33
  4. Step 4: Simplify right side
    370.92x = 642,126.76
  5. Step 5: Solve for x
    x = 642,126.76/370.92
  6. Step 6: Final answer
    x = 1,731.16

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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.