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Finding the Third Proportional to 526,216.50 and 794,083.50

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Solution

The third proportional to 526,216.50 and 794,083.50 is: 1,198,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,216.50 : 794,083.50 = 794,083.50 : x
  2. Step 2: Convert to fraction form
    526,216.50/794,083.50 = 794,083.50/x
  3. Step 3: Cross multiply
    526,216.50x = 794,083.50 × 794,083.50
  4. Step 4: Simplify right side
    526,216.50x = 630,568,604,972.25
  5. Step 5: Solve for x
    x = 630,568,604,972.25/526,216.50
  6. Step 6: Final answer
    x = 1,198,306.41

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