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Finding the Third Proportional to 388,046.50 and 832,793

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Solution

The third proportional to 388,046.50 and 832,793 is: 1,787,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,046.50 : 832,793 = 832,793 : x
  2. Step 2: Convert to fraction form
    388,046.50/832,793 = 832,793/x
  3. Step 3: Cross multiply
    388,046.50x = 832,793 × 832,793
  4. Step 4: Simplify right side
    388,046.50x = 693,544,180,849
  5. Step 5: Solve for x
    x = 693,544,180,849/388,046.50
  6. Step 6: Final answer
    x = 1,787,270.81

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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.