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Finding the Third Proportional to 582.40 and 1,251.07

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Solution

The third proportional to 582.40 and 1,251.07 is: 2,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 1,251.07 = 1,251.07 : x
  2. Step 2: Convert to fraction form
    582.40/1,251.07 = 1,251.07/x
  3. Step 3: Cross multiply
    582.40x = 1,251.07 × 1,251.07
  4. Step 4: Simplify right side
    582.40x = 1,565,176.93
  5. Step 5: Solve for x
    x = 1,565,176.93/582.40
  6. Step 6: Final answer
    x = 2,687.47

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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.