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Finding the Third Proportional to 392,286 and 838,518

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Solution

The third proportional to 392,286 and 838,518 is: 1,792,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,286 : 838,518 = 838,518 : x
  2. Step 2: Convert to fraction form
    392,286/838,518 = 838,518/x
  3. Step 3: Cross multiply
    392,286x = 838,518 × 838,518
  4. Step 4: Simplify right side
    392,286x = 703,112,436,324
  5. Step 5: Solve for x
    x = 703,112,436,324/392,286
  6. Step 6: Final answer
    x = 1,792,346.49

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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.