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Finding the Third Proportional to 251,508 and 392,571

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Solution

The third proportional to 251,508 and 392,571 is: 612,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,508 : 392,571 = 392,571 : x
  2. Step 2: Convert to fraction form
    251,508/392,571 = 392,571/x
  3. Step 3: Cross multiply
    251,508x = 392,571 × 392,571
  4. Step 4: Simplify right side
    251,508x = 154,111,990,041
  5. Step 5: Solve for x
    x = 154,111,990,041/251,508
  6. Step 6: Final answer
    x = 612,751.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.