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Finding the Third Proportional to 532.36 and 1,149.14

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Solution

The third proportional to 532.36 and 1,149.14 is: 2,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.36 : 1,149.14 = 1,149.14 : x
  2. Step 2: Convert to fraction form
    532.36/1,149.14 = 1,149.14/x
  3. Step 3: Cross multiply
    532.36x = 1,149.14 × 1,149.14
  4. Step 4: Simplify right side
    532.36x = 1,320,524.18
  5. Step 5: Solve for x
    x = 1,320,524.18/532.36
  6. Step 6: Final answer
    x = 2,480.51

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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.