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Finding the Third Proportional to 392,283 and 838,512

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Solution

The third proportional to 392,283 and 838,512 is: 1,792,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,283 : 838,512 = 838,512 : x
  2. Step 2: Convert to fraction form
    392,283/838,512 = 838,512/x
  3. Step 3: Cross multiply
    392,283x = 838,512 × 838,512
  4. Step 4: Simplify right side
    392,283x = 703,102,374,144
  5. Step 5: Solve for x
    x = 703,102,374,144/392,283
  6. Step 6: Final answer
    x = 1,792,334.55

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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.