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Finding the Third Proportional to 218,242 and 469,856

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Solution

The third proportional to 218,242 and 469,856 is: 1,011,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,242 : 469,856 = 469,856 : x
  2. Step 2: Convert to fraction form
    218,242/469,856 = 469,856/x
  3. Step 3: Cross multiply
    218,242x = 469,856 × 469,856
  4. Step 4: Simplify right side
    218,242x = 220,764,660,736
  5. Step 5: Solve for x
    x = 220,764,660,736/218,242
  6. Step 6: Final answer
    x = 1,011,559.01

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