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Finding the Third Proportional to 218,706 and 469,974

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Solution

The third proportional to 218,706 and 469,974 is: 1,009,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,706 : 469,974 = 469,974 : x
  2. Step 2: Convert to fraction form
    218,706/469,974 = 469,974/x
  3. Step 3: Cross multiply
    218,706x = 469,974 × 469,974
  4. Step 4: Simplify right side
    218,706x = 220,875,560,676
  5. Step 5: Solve for x
    x = 220,875,560,676/218,706
  6. Step 6: Final answer
    x = 1,009,919.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.