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Finding the Third Proportional to 218,819 and 471,117

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Solution

The third proportional to 218,819 and 471,117 is: 1,014,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819 : 471,117 = 471,117 : x
  2. Step 2: Convert to fraction form
    218,819/471,117 = 471,117/x
  3. Step 3: Cross multiply
    218,819x = 471,117 × 471,117
  4. Step 4: Simplify right side
    218,819x = 221,951,227,689
  5. Step 5: Solve for x
    x = 221,951,227,689/218,819
  6. Step 6: Final answer
    x = 1,014,314.24

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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.