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Finding the Third Proportional to 324,873 and 499,996

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Solution

The third proportional to 324,873 and 499,996 is: 769,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,873 : 499,996 = 499,996 : x
  2. Step 2: Convert to fraction form
    324,873/499,996 = 499,996/x
  3. Step 3: Cross multiply
    324,873x = 499,996 × 499,996
  4. Step 4: Simplify right side
    324,873x = 249,996,000,016
  5. Step 5: Solve for x
    x = 249,996,000,016/324,873
  6. Step 6: Final answer
    x = 769,519.17

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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.