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Finding the Third Proportional to 824.55 and 1,275.12

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Solution

The third proportional to 824.55 and 1,275.12 is: 1,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,275.12 = 1,275.12 : x
  2. Step 2: Convert to fraction form
    824.55/1,275.12 = 1,275.12/x
  3. Step 3: Cross multiply
    824.55x = 1,275.12 × 1,275.12
  4. Step 4: Simplify right side
    824.55x = 1,625,923.84
  5. Step 5: Solve for x
    x = 1,625,923.84/824.55
  6. Step 6: Final answer
    x = 1,971.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.