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Finding the Third Proportional to 326,016 and 498,711

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Solution

The third proportional to 326,016 and 498,711 is: 762,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016 : 498,711 = 498,711 : x
  2. Step 2: Convert to fraction form
    326,016/498,711 = 498,711/x
  3. Step 3: Cross multiply
    326,016x = 498,711 × 498,711
  4. Step 4: Simplify right side
    326,016x = 248,712,661,521
  5. Step 5: Solve for x
    x = 248,712,661,521/326,016
  6. Step 6: Final answer
    x = 762,884.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.