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Finding the Third Proportional to 532.97 and 1,164.66

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Solution

The third proportional to 532.97 and 1,164.66 is: 2,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.97 : 1,164.66 = 1,164.66 : x
  2. Step 2: Convert to fraction form
    532.97/1,164.66 = 1,164.66/x
  3. Step 3: Cross multiply
    532.97x = 1,164.66 × 1,164.66
  4. Step 4: Simplify right side
    532.97x = 1,356,424.18
  5. Step 5: Solve for x
    x = 1,356,424.18/532.97
  6. Step 6: Final answer
    x = 2,545.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.