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Finding the Third Proportional to 523,821.50 and 1,150,517

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Solution

The third proportional to 523,821.50 and 1,150,517 is: 2,526,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,821.50 : 1,150,517 = 1,150,517 : x
  2. Step 2: Convert to fraction form
    523,821.50/1,150,517 = 1,150,517/x
  3. Step 3: Cross multiply
    523,821.50x = 1,150,517 × 1,150,517
  4. Step 4: Simplify right side
    523,821.50x = 1,323,689,367,289
  5. Step 5: Solve for x
    x = 1,323,689,367,289/523,821.50
  6. Step 6: Final answer
    x = 2,526,985.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.