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Finding the Third Proportional to 392,398 and 838,324

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Solution

The third proportional to 392,398 and 838,324 is: 1,791,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,398 : 838,324 = 838,324 : x
  2. Step 2: Convert to fraction form
    392,398/838,324 = 838,324/x
  3. Step 3: Cross multiply
    392,398x = 838,324 × 838,324
  4. Step 4: Simplify right side
    392,398x = 702,787,128,976
  5. Step 5: Solve for x
    x = 702,787,128,976/392,398
  6. Step 6: Final answer
    x = 1,791,005.89

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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.