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Finding the Third Proportional to 263,305.31 and 567,167.06

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Solution

The third proportional to 263,305.31 and 567,167.06 is: 1,221,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,305.31 : 567,167.06 = 567,167.06 : x
  2. Step 2: Convert to fraction form
    263,305.31/567,167.06 = 567,167.06/x
  3. Step 3: Cross multiply
    263,305.31x = 567,167.06 × 567,167.06
  4. Step 4: Simplify right side
    263,305.31x = 321,678,476,784.88
  5. Step 5: Solve for x
    x = 321,678,476,784.88/263,305.31
  6. Step 6: Final answer
    x = 1,221,693.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.