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Finding the Third Proportional to 218,036 and 467,596

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Solution

The third proportional to 218,036 and 467,596 is: 1,002,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,036 : 467,596 = 467,596 : x
  2. Step 2: Convert to fraction form
    218,036/467,596 = 467,596/x
  3. Step 3: Cross multiply
    218,036x = 467,596 × 467,596
  4. Step 4: Simplify right side
    218,036x = 218,646,019,216
  5. Step 5: Solve for x
    x = 218,646,019,216/218,036
  6. Step 6: Final answer
    x = 1,002,797.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.