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Finding the Third Proportional to 247,137 and 536,922

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Solution

The third proportional to 247,137 and 536,922 is: 1,166,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,137 : 536,922 = 536,922 : x
  2. Step 2: Convert to fraction form
    247,137/536,922 = 536,922/x
  3. Step 3: Cross multiply
    247,137x = 536,922 × 536,922
  4. Step 4: Simplify right side
    247,137x = 288,285,234,084
  5. Step 5: Solve for x
    x = 288,285,234,084/247,137
  6. Step 6: Final answer
    x = 1,166,499.69

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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.