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Finding the Third Proportional to 244,473 and 541,434

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Solution

The third proportional to 244,473 and 541,434 is: 1,199,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,473 : 541,434 = 541,434 : x
  2. Step 2: Convert to fraction form
    244,473/541,434 = 541,434/x
  3. Step 3: Cross multiply
    244,473x = 541,434 × 541,434
  4. Step 4: Simplify right side
    244,473x = 293,150,776,356
  5. Step 5: Solve for x
    x = 293,150,776,356/244,473
  6. Step 6: Final answer
    x = 1,199,113.10

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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.