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Finding the Third Proportional to 264,067.88 and 570,229.88

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Solution

The third proportional to 264,067.88 and 570,229.88 is: 1,231,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,067.88 : 570,229.88 = 570,229.88 : x
  2. Step 2: Convert to fraction form
    264,067.88/570,229.88 = 570,229.88/x
  3. Step 3: Cross multiply
    264,067.88x = 570,229.88 × 570,229.88
  4. Step 4: Simplify right side
    264,067.88x = 325,162,110,342.52
  5. Step 5: Solve for x
    x = 325,162,110,342.52/264,067.88
  6. Step 6: Final answer
    x = 1,231,358.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.