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Finding the Third Proportional to 498,772.69 and 773,890.45

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Solution

The third proportional to 498,772.69 and 773,890.45 is: 1,200,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,772.69 : 773,890.45 = 773,890.45 : x
  2. Step 2: Convert to fraction form
    498,772.69/773,890.45 = 773,890.45/x
  3. Step 3: Cross multiply
    498,772.69x = 773,890.45 × 773,890.45
  4. Step 4: Simplify right side
    498,772.69x = 598,906,433,438.02
  5. Step 5: Solve for x
    x = 598,906,433,438.02/498,772.69
  6. Step 6: Final answer
    x = 1,200,760.28

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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.