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Finding the Third Proportional to 218,818 and 471,115

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Solution

The third proportional to 218,818 and 471,115 is: 1,014,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,818 : 471,115 = 471,115 : x
  2. Step 2: Convert to fraction form
    218,818/471,115 = 471,115/x
  3. Step 3: Cross multiply
    218,818x = 471,115 × 471,115
  4. Step 4: Simplify right side
    218,818x = 221,949,343,225
  5. Step 5: Solve for x
    x = 221,949,343,225/218,818
  6. Step 6: Final answer
    x = 1,014,310.26

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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.