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Finding the Third Proportional to 247,885 and 536,981

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Solution

The third proportional to 247,885 and 536,981 is: 1,163,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,885 : 536,981 = 536,981 : x
  2. Step 2: Convert to fraction form
    247,885/536,981 = 536,981/x
  3. Step 3: Cross multiply
    247,885x = 536,981 × 536,981
  4. Step 4: Simplify right side
    247,885x = 288,348,594,361
  5. Step 5: Solve for x
    x = 288,348,594,361/247,885
  6. Step 6: Final answer
    x = 1,163,235.35

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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.