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Finding the Third Proportional to 324,864 and 499,982

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Solution

The third proportional to 324,864 and 499,982 is: 769,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,864 : 499,982 = 499,982 : x
  2. Step 2: Convert to fraction form
    324,864/499,982 = 499,982/x
  3. Step 3: Cross multiply
    324,864x = 499,982 × 499,982
  4. Step 4: Simplify right side
    324,864x = 249,982,000,324
  5. Step 5: Solve for x
    x = 249,982,000,324/324,864
  6. Step 6: Final answer
    x = 769,497.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.