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Finding the Third Proportional to 326,241 and 718,698

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Solution

The third proportional to 326,241 and 718,698 is: 1,583,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,241 : 718,698 = 718,698 : x
  2. Step 2: Convert to fraction form
    326,241/718,698 = 718,698/x
  3. Step 3: Cross multiply
    326,241x = 718,698 × 718,698
  4. Step 4: Simplify right side
    326,241x = 516,526,815,204
  5. Step 5: Solve for x
    x = 516,526,815,204/326,241
  6. Step 6: Final answer
    x = 1,583,267.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.