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Finding the Third Proportional to 498,437 and 1,096,519.50

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Solution

The third proportional to 498,437 and 1,096,519.50 is: 2,412,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,437 : 1,096,519.50 = 1,096,519.50 : x
  2. Step 2: Convert to fraction form
    498,437/1,096,519.50 = 1,096,519.50/x
  3. Step 3: Cross multiply
    498,437x = 1,096,519.50 × 1,096,519.50
  4. Step 4: Simplify right side
    498,437x = 1,202,355,013,880.25
  5. Step 5: Solve for x
    x = 1,202,355,013,880.25/498,437
  6. Step 6: Final answer
    x = 2,412,250.72

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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.