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Finding the Third Proportional to 218,817 and 471,114

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Solution

The third proportional to 218,817 and 471,114 is: 1,014,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,817 : 471,114 = 471,114 : x
  2. Step 2: Convert to fraction form
    218,817/471,114 = 471,114/x
  3. Step 3: Cross multiply
    218,817x = 471,114 × 471,114
  4. Step 4: Simplify right side
    218,817x = 221,948,400,996
  5. Step 5: Solve for x
    x = 221,948,400,996/218,817
  6. Step 6: Final answer
    x = 1,014,310.59

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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.