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Finding the Third Proportional to 221,947 and 485,415

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Solution

The third proportional to 221,947 and 485,415 is: 1,061,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,947 : 485,415 = 485,415 : x
  2. Step 2: Convert to fraction form
    221,947/485,415 = 485,415/x
  3. Step 3: Cross multiply
    221,947x = 485,415 × 485,415
  4. Step 4: Simplify right side
    221,947x = 235,627,722,225
  5. Step 5: Solve for x
    x = 235,627,722,225/221,947
  6. Step 6: Final answer
    x = 1,061,639.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.