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Finding the Third Proportional to 244,462 and 541,412

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Solution

The third proportional to 244,462 and 541,412 is: 1,199,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,462 : 541,412 = 541,412 : x
  2. Step 2: Convert to fraction form
    244,462/541,412 = 541,412/x
  3. Step 3: Cross multiply
    244,462x = 541,412 × 541,412
  4. Step 4: Simplify right side
    244,462x = 293,126,953,744
  5. Step 5: Solve for x
    x = 293,126,953,744/244,462
  6. Step 6: Final answer
    x = 1,199,069.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.