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Finding the Third Proportional to 465,870.75 and 998,172.75

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Solution

The third proportional to 465,870.75 and 998,172.75 is: 2,138,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,870.75 : 998,172.75 = 998,172.75 : x
  2. Step 2: Convert to fraction form
    465,870.75/998,172.75 = 998,172.75/x
  3. Step 3: Cross multiply
    465,870.75x = 998,172.75 × 998,172.75
  4. Step 4: Simplify right side
    465,870.75x = 996,348,838,842.56
  5. Step 5: Solve for x
    x = 996,348,838,842.56/465,870.75
  6. Step 6: Final answer
    x = 2,138,680.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.