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Finding the Third Proportional to 467.30 and 1,008.70

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Solution

The third proportional to 467.30 and 1,008.70 is: 2,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 1,008.70 = 1,008.70 : x
  2. Step 2: Convert to fraction form
    467.30/1,008.70 = 1,008.70/x
  3. Step 3: Cross multiply
    467.30x = 1,008.70 × 1,008.70
  4. Step 4: Simplify right side
    467.30x = 1,017,481.99
  5. Step 5: Solve for x
    x = 1,017,481.99/467.30
  6. Step 6: Final answer
    x = 2,177.38

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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.