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Finding the Third Proportional to 402 and 618.38

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Solution

The third proportional to 402 and 618.38 is: 951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 618.38 = 618.38 : x
  2. Step 2: Convert to fraction form
    402/618.38 = 618.38/x
  3. Step 3: Cross multiply
    402x = 618.38 × 618.38
  4. Step 4: Simplify right side
    402x = 382,387.64
  5. Step 5: Solve for x
    x = 382,387.64/402
  6. Step 6: Final answer
    x = 951.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.