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Finding the Third Proportional to 370.20 and 576.65

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Solution

The third proportional to 370.20 and 576.65 is: 898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.20 : 576.65 = 576.65 : x
  2. Step 2: Convert to fraction form
    370.20/576.65 = 576.65/x
  3. Step 3: Cross multiply
    370.20x = 576.65 × 576.65
  4. Step 4: Simplify right side
    370.20x = 332,525.67
  5. Step 5: Solve for x
    x = 332,525.67/370.20
  6. Step 6: Final answer
    x = 898.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.