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Finding the Third Proportional to 652.43 and 1,350.21

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Solution

The third proportional to 652.43 and 1,350.21 is: 2,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 1,350.21 = 1,350.21 : x
  2. Step 2: Convert to fraction form
    652.43/1,350.21 = 1,350.21/x
  3. Step 3: Cross multiply
    652.43x = 1,350.21 × 1,350.21
  4. Step 4: Simplify right side
    652.43x = 1,823,069.58
  5. Step 5: Solve for x
    x = 1,823,069.58/652.43
  6. Step 6: Final answer
    x = 2,794.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.