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Finding the Third Proportional to 218,241 and 469,683

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Solution

The third proportional to 218,241 and 469,683 is: 1,010,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,241 : 469,683 = 469,683 : x
  2. Step 2: Convert to fraction form
    218,241/469,683 = 469,683/x
  3. Step 3: Cross multiply
    218,241x = 469,683 × 469,683
  4. Step 4: Simplify right side
    218,241x = 220,602,120,489
  5. Step 5: Solve for x
    x = 220,602,120,489/218,241
  6. Step 6: Final answer
    x = 1,010,818.87

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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.