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Finding the Third Proportional to 326,623 and 699,902

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Solution

The third proportional to 326,623 and 699,902 is: 1,499,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,623 : 699,902 = 699,902 : x
  2. Step 2: Convert to fraction form
    326,623/699,902 = 699,902/x
  3. Step 3: Cross multiply
    326,623x = 699,902 × 699,902
  4. Step 4: Simplify right side
    326,623x = 489,862,809,604
  5. Step 5: Solve for x
    x = 489,862,809,604/326,623
  6. Step 6: Final answer
    x = 1,499,780.51

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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.