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Finding the Third Proportional to 646.31 and 1,204.03

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Solution

The third proportional to 646.31 and 1,204.03 is: 2,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 1,204.03 = 1,204.03 : x
  2. Step 2: Convert to fraction form
    646.31/1,204.03 = 1,204.03/x
  3. Step 3: Cross multiply
    646.31x = 1,204.03 × 1,204.03
  4. Step 4: Simplify right side
    646.31x = 1,449,691.25
  5. Step 5: Solve for x
    x = 1,449,691.25/646.31
  6. Step 6: Final answer
    x = 2,243.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.