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Finding the Third Proportional to 498,665.25 and 1,081,874.50

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Solution

The third proportional to 498,665.25 and 1,081,874.50 is: 2,347,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,665.25 : 1,081,874.50 = 1,081,874.50 : x
  2. Step 2: Convert to fraction form
    498,665.25/1,081,874.50 = 1,081,874.50/x
  3. Step 3: Cross multiply
    498,665.25x = 1,081,874.50 × 1,081,874.50
  4. Step 4: Simplify right side
    498,665.25x = 1,170,452,433,750.25
  5. Step 5: Solve for x
    x = 1,170,452,433,750.25/498,665.25
  6. Step 6: Final answer
    x = 2,347,170.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.