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Finding the Third Proportional to 824.55 and 1,717.14

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Solution

The third proportional to 824.55 and 1,717.14 is: 3,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,717.14 = 1,717.14 : x
  2. Step 2: Convert to fraction form
    824.55/1,717.14 = 1,717.14/x
  3. Step 3: Cross multiply
    824.55x = 1,717.14 × 1,717.14
  4. Step 4: Simplify right side
    824.55x = 2,948,558.51
  5. Step 5: Solve for x
    x = 2,948,558.51/824.55
  6. Step 6: Final answer
    x = 3,575.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.