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Finding the Third Proportional to 326,613 and 699,881

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Solution

The third proportional to 326,613 and 699,881 is: 1,499,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,613 : 699,881 = 699,881 : x
  2. Step 2: Convert to fraction form
    326,613/699,881 = 699,881/x
  3. Step 3: Cross multiply
    326,613x = 699,881 × 699,881
  4. Step 4: Simplify right side
    326,613x = 489,833,414,161
  5. Step 5: Solve for x
    x = 489,833,414,161/326,613
  6. Step 6: Final answer
    x = 1,499,736.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.