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Finding the Third Proportional to 582.19 and 1,351.97

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Solution

The third proportional to 582.19 and 1,351.97 is: 3,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 1,351.97 = 1,351.97 : x
  2. Step 2: Convert to fraction form
    582.19/1,351.97 = 1,351.97/x
  3. Step 3: Cross multiply
    582.19x = 1,351.97 × 1,351.97
  4. Step 4: Simplify right side
    582.19x = 1,827,819.50
  5. Step 5: Solve for x
    x = 1,827,819.50/582.19
  6. Step 6: Final answer
    x = 3,139.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.