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Finding the Third Proportional to 526,645.50 and 794,621.25

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Solution

The third proportional to 526,645.50 and 794,621.25 is: 1,198,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,645.50 : 794,621.25 = 794,621.25 : x
  2. Step 2: Convert to fraction form
    526,645.50/794,621.25 = 794,621.25/x
  3. Step 3: Cross multiply
    526,645.50x = 794,621.25 × 794,621.25
  4. Step 4: Simplify right side
    526,645.50x = 631,422,930,951.56
  5. Step 5: Solve for x
    x = 631,422,930,951.56/526,645.50
  6. Step 6: Final answer
    x = 1,198,952.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.