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Finding the Third Proportional to 252,418 and 536,001

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Solution

The third proportional to 252,418 and 536,001 is: 1,138,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,418 : 536,001 = 536,001 : x
  2. Step 2: Convert to fraction form
    252,418/536,001 = 536,001/x
  3. Step 3: Cross multiply
    252,418x = 536,001 × 536,001
  4. Step 4: Simplify right side
    252,418x = 287,297,072,001
  5. Step 5: Solve for x
    x = 287,297,072,001/252,418
  6. Step 6: Final answer
    x = 1,138,179.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.