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Finding the Third Proportional to 363,415 and 541,571

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Solution

The third proportional to 363,415 and 541,571 is: 807,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,415 : 541,571 = 541,571 : x
  2. Step 2: Convert to fraction form
    363,415/541,571 = 541,571/x
  3. Step 3: Cross multiply
    363,415x = 541,571 × 541,571
  4. Step 4: Simplify right side
    363,415x = 293,299,148,041
  5. Step 5: Solve for x
    x = 293,299,148,041/363,415
  6. Step 6: Final answer
    x = 807,063.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.