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Finding the Third Proportional to 587,992.50 and 828,049.50

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Solution

The third proportional to 587,992.50 and 828,049.50 is: 1,166,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,992.50 : 828,049.50 = 828,049.50 : x
  2. Step 2: Convert to fraction form
    587,992.50/828,049.50 = 828,049.50/x
  3. Step 3: Cross multiply
    587,992.50x = 828,049.50 × 828,049.50
  4. Step 4: Simplify right side
    587,992.50x = 685,665,974,450.25
  5. Step 5: Solve for x
    x = 685,665,974,450.25/587,992.50
  6. Step 6: Final answer
    x = 1,166,113.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.