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Finding the Third Proportional to 487,280.25 and 1,180,824.75

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Solution

The third proportional to 487,280.25 and 1,180,824.75 is: 2,861,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,280.25 : 1,180,824.75 = 1,180,824.75 : x
  2. Step 2: Convert to fraction form
    487,280.25/1,180,824.75 = 1,180,824.75/x
  3. Step 3: Cross multiply
    487,280.25x = 1,180,824.75 × 1,180,824.75
  4. Step 4: Simplify right side
    487,280.25x = 1,394,347,090,212.56
  5. Step 5: Solve for x
    x = 1,394,347,090,212.56/487,280.25
  6. Step 6: Final answer
    x = 2,861,489.03

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.