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Finding the Third Proportional to 467,970.75 and 998,149.50

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Solution

The third proportional to 467,970.75 and 998,149.50 is: 2,128,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,970.75 : 998,149.50 = 998,149.50 : x
  2. Step 2: Convert to fraction form
    467,970.75/998,149.50 = 998,149.50/x
  3. Step 3: Cross multiply
    467,970.75x = 998,149.50 × 998,149.50
  4. Step 4: Simplify right side
    467,970.75x = 996,302,424,350.25
  5. Step 5: Solve for x
    x = 996,302,424,350.25/467,970.75
  6. Step 6: Final answer
    x = 2,128,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.