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Finding the Third Proportional to 240,861.50 and 518,719.50

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Solution

The third proportional to 240,861.50 and 518,719.50 is: 1,117,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,861.50 : 518,719.50 = 518,719.50 : x
  2. Step 2: Convert to fraction form
    240,861.50/518,719.50 = 518,719.50/x
  3. Step 3: Cross multiply
    240,861.50x = 518,719.50 × 518,719.50
  4. Step 4: Simplify right side
    240,861.50x = 269,069,919,680.25
  5. Step 5: Solve for x
    x = 269,069,919,680.25/240,861.50
  6. Step 6: Final answer
    x = 1,117,114.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.