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Finding the Third Proportional to 221,702 and 484,811

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Solution

The third proportional to 221,702 and 484,811 is: 1,060,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,702 : 484,811 = 484,811 : x
  2. Step 2: Convert to fraction form
    221,702/484,811 = 484,811/x
  3. Step 3: Cross multiply
    221,702x = 484,811 × 484,811
  4. Step 4: Simplify right side
    221,702x = 235,041,705,721
  5. Step 5: Solve for x
    x = 235,041,705,721/221,702
  6. Step 6: Final answer
    x = 1,060,169.53

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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.