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Finding the Third Proportional to 498,435.50 and 773,228.50

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Solution

The third proportional to 498,435.50 and 773,228.50 is: 1,199,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,435.50 : 773,228.50 = 773,228.50 : x
  2. Step 2: Convert to fraction form
    498,435.50/773,228.50 = 773,228.50/x
  3. Step 3: Cross multiply
    498,435.50x = 773,228.50 × 773,228.50
  4. Step 4: Simplify right side
    498,435.50x = 597,882,313,212.25
  5. Step 5: Solve for x
    x = 597,882,313,212.25/498,435.50
  6. Step 6: Final answer
    x = 1,199,517.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.