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Finding the Third Proportional to 207,924 and 321,822

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Solution

The third proportional to 207,924 and 321,822 is: 498,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,924 : 321,822 = 321,822 : x
  2. Step 2: Convert to fraction form
    207,924/321,822 = 321,822/x
  3. Step 3: Cross multiply
    207,924x = 321,822 × 321,822
  4. Step 4: Simplify right side
    207,924x = 103,569,399,684
  5. Step 5: Solve for x
    x = 103,569,399,684/207,924
  6. Step 6: Final answer
    x = 498,111.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.