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Finding the Third Proportional to 240,001 and 518,503

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Solution

The third proportional to 240,001 and 518,503 is: 1,120,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,001 : 518,503 = 518,503 : x
  2. Step 2: Convert to fraction form
    240,001/518,503 = 518,503/x
  3. Step 3: Cross multiply
    240,001x = 518,503 × 518,503
  4. Step 4: Simplify right side
    240,001x = 268,845,361,009
  5. Step 5: Solve for x
    x = 268,845,361,009/240,001
  6. Step 6: Final answer
    x = 1,120,184.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.