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Finding the Third Proportional to 798,537.75 and 1,196,576.25

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Solution

The third proportional to 798,537.75 and 1,196,576.25 is: 1,793,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,537.75 : 1,196,576.25 = 1,196,576.25 : x
  2. Step 2: Convert to fraction form
    798,537.75/1,196,576.25 = 1,196,576.25/x
  3. Step 3: Cross multiply
    798,537.75x = 1,196,576.25 × 1,196,576.25
  4. Step 4: Simplify right side
    798,537.75x = 1,431,794,722,064.06
  5. Step 5: Solve for x
    x = 1,431,794,722,064.06/798,537.75
  6. Step 6: Final answer
    x = 1,793,020.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.