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Finding the Third Proportional to 230,936 and 539,571

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Solution

The third proportional to 230,936 and 539,571 is: 1,260,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936 : 539,571 = 539,571 : x
  2. Step 2: Convert to fraction form
    230,936/539,571 = 539,571/x
  3. Step 3: Cross multiply
    230,936x = 539,571 × 539,571
  4. Step 4: Simplify right side
    230,936x = 291,136,864,041
  5. Step 5: Solve for x
    x = 291,136,864,041/230,936
  6. Step 6: Final answer
    x = 1,260,682.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.