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Finding the Third Proportional to 392,063 and 850,510

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Solution

The third proportional to 392,063 and 850,510 is: 1,845,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,063 : 850,510 = 850,510 : x
  2. Step 2: Convert to fraction form
    392,063/850,510 = 850,510/x
  3. Step 3: Cross multiply
    392,063x = 850,510 × 850,510
  4. Step 4: Simplify right side
    392,063x = 723,367,260,100
  5. Step 5: Solve for x
    x = 723,367,260,100/392,063
  6. Step 6: Final answer
    x = 1,845,028.12

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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.