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Finding the Third Proportional to 458,794.13 and 996,401.25

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Solution

The third proportional to 458,794.13 and 996,401.25 is: 2,163,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,794.13 : 996,401.25 = 996,401.25 : x
  2. Step 2: Convert to fraction form
    458,794.13/996,401.25 = 996,401.25/x
  3. Step 3: Cross multiply
    458,794.13x = 996,401.25 × 996,401.25
  4. Step 4: Simplify right side
    458,794.13x = 992,815,451,001.56
  5. Step 5: Solve for x
    x = 992,815,451,001.56/458,794.13
  6. Step 6: Final answer
    x = 2,163,967.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.