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Finding the Third Proportional to 370.55 and 797.91

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Solution

The third proportional to 370.55 and 797.91 is: 1,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.55 : 797.91 = 797.91 : x
  2. Step 2: Convert to fraction form
    370.55/797.91 = 797.91/x
  3. Step 3: Cross multiply
    370.55x = 797.91 × 797.91
  4. Step 4: Simplify right side
    370.55x = 636,654.38
  5. Step 5: Solve for x
    x = 636,654.38/370.55
  6. Step 6: Final answer
    x = 1,718.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.