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Finding the Third Proportional to 427,320 and 998,314

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Solution

The third proportional to 427,320 and 998,314 is: 2,332,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,320 : 998,314 = 998,314 : x
  2. Step 2: Convert to fraction form
    427,320/998,314 = 998,314/x
  3. Step 3: Cross multiply
    427,320x = 998,314 × 998,314
  4. Step 4: Simplify right side
    427,320x = 996,630,842,596
  5. Step 5: Solve for x
    x = 996,630,842,596/427,320
  6. Step 6: Final answer
    x = 2,332,282.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.