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Finding the Third Proportional to 247,974 and 537,150

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Solution

The third proportional to 247,974 and 537,150 is: 1,163,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,974 : 537,150 = 537,150 : x
  2. Step 2: Convert to fraction form
    247,974/537,150 = 537,150/x
  3. Step 3: Cross multiply
    247,974x = 537,150 × 537,150
  4. Step 4: Simplify right side
    247,974x = 288,530,122,500
  5. Step 5: Solve for x
    x = 288,530,122,500/247,974
  6. Step 6: Final answer
    x = 1,163,549.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.