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Finding the Third Proportional to 568,731.38 and 864,801.56

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Solution

The third proportional to 568,731.38 and 864,801.56 is: 1,314,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,731.38 : 864,801.56 = 864,801.56 : x
  2. Step 2: Convert to fraction form
    568,731.38/864,801.56 = 864,801.56/x
  3. Step 3: Cross multiply
    568,731.38x = 864,801.56 × 864,801.56
  4. Step 4: Simplify right side
    568,731.38x = 747,881,742,502.44
  5. Step 5: Solve for x
    x = 747,881,742,502.44/568,731.38
  6. Step 6: Final answer
    x = 1,314,999.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.