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Finding the Third Proportional to 239,850 and 527,994

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Solution

The third proportional to 239,850 and 527,994 is: 1,162,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,850 : 527,994 = 527,994 : x
  2. Step 2: Convert to fraction form
    239,850/527,994 = 527,994/x
  3. Step 3: Cross multiply
    239,850x = 527,994 × 527,994
  4. Step 4: Simplify right side
    239,850x = 278,777,664,036
  5. Step 5: Solve for x
    x = 278,777,664,036/239,850
  6. Step 6: Final answer
    x = 1,162,300.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.