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Finding the Third Proportional to 252,979 and 384,649

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Solution

The third proportional to 252,979 and 384,649 is: 584,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,979 : 384,649 = 384,649 : x
  2. Step 2: Convert to fraction form
    252,979/384,649 = 384,649/x
  3. Step 3: Cross multiply
    252,979x = 384,649 × 384,649
  4. Step 4: Simplify right side
    252,979x = 147,954,853,201
  5. Step 5: Solve for x
    x = 147,954,853,201/252,979
  6. Step 6: Final answer
    x = 584,850.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.