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Finding the Third Proportional to 464.13 and 618.68

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Solution

The third proportional to 464.13 and 618.68 is: 824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 618.68 = 618.68 : x
  2. Step 2: Convert to fraction form
    464.13/618.68 = 618.68/x
  3. Step 3: Cross multiply
    464.13x = 618.68 × 618.68
  4. Step 4: Simplify right side
    464.13x = 382,764.56
  5. Step 5: Solve for x
    x = 382,764.56/464.13
  6. Step 6: Final answer
    x = 824.69

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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.