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Finding the Third Proportional to 240,867 and 515,079

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Solution

The third proportional to 240,867 and 515,079 is: 1,101,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,867 : 515,079 = 515,079 : x
  2. Step 2: Convert to fraction form
    240,867/515,079 = 515,079/x
  3. Step 3: Cross multiply
    240,867x = 515,079 × 515,079
  4. Step 4: Simplify right side
    240,867x = 265,306,376,241
  5. Step 5: Solve for x
    x = 265,306,376,241/240,867
  6. Step 6: Final answer
    x = 1,101,464.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.