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Finding the Third Proportional to 467.65 and 1,002.80

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Solution

The third proportional to 467.65 and 1,002.80 is: 2,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 1,002.80 = 1,002.80 : x
  2. Step 2: Convert to fraction form
    467.65/1,002.80 = 1,002.80/x
  3. Step 3: Cross multiply
    467.65x = 1,002.80 × 1,002.80
  4. Step 4: Simplify right side
    467.65x = 1,005,601.57
  5. Step 5: Solve for x
    x = 1,005,601.57/467.65
  6. Step 6: Final answer
    x = 2,150.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.