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Finding the Third Proportional to 584.72 and 1,287.14

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Solution

The third proportional to 584.72 and 1,287.14 is: 2,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 1,287.14 = 1,287.14 : x
  2. Step 2: Convert to fraction form
    584.72/1,287.14 = 1,287.14/x
  3. Step 3: Cross multiply
    584.72x = 1,287.14 × 1,287.14
  4. Step 4: Simplify right side
    584.72x = 1,656,730.99
  5. Step 5: Solve for x
    x = 1,656,730.99/584.72
  6. Step 6: Final answer
    x = 2,833.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.