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Finding the Third Proportional to 463.85 and 618.26

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Solution

The third proportional to 463.85 and 618.26 is: 824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 618.26 = 618.26 : x
  2. Step 2: Convert to fraction form
    463.85/618.26 = 618.26/x
  3. Step 3: Cross multiply
    463.85x = 618.26 × 618.26
  4. Step 4: Simplify right side
    463.85x = 382,242.72
  5. Step 5: Solve for x
    x = 382,242.72/463.85
  6. Step 6: Final answer
    x = 824.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.