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Finding the Third Proportional to 233,904 and 499,800

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Solution

The third proportional to 233,904 and 499,800 is: 1,067,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,904 : 499,800 = 499,800 : x
  2. Step 2: Convert to fraction form
    233,904/499,800 = 499,800/x
  3. Step 3: Cross multiply
    233,904x = 499,800 × 499,800
  4. Step 4: Simplify right side
    233,904x = 249,800,040,000
  5. Step 5: Solve for x
    x = 249,800,040,000/233,904
  6. Step 6: Final answer
    x = 1,067,959.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.