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Finding the Third Proportional to 326,233 and 718,687

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Solution

The third proportional to 326,233 and 718,687 is: 1,583,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,233 : 718,687 = 718,687 : x
  2. Step 2: Convert to fraction form
    326,233/718,687 = 718,687/x
  3. Step 3: Cross multiply
    326,233x = 718,687 × 718,687
  4. Step 4: Simplify right side
    326,233x = 516,511,003,969
  5. Step 5: Solve for x
    x = 516,511,003,969/326,233
  6. Step 6: Final answer
    x = 1,583,257.99

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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.