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Finding the Third Proportional to 244,729 and 541,865

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Solution

The third proportional to 244,729 and 541,865 is: 1,199,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,729 : 541,865 = 541,865 : x
  2. Step 2: Convert to fraction form
    244,729/541,865 = 541,865/x
  3. Step 3: Cross multiply
    244,729x = 541,865 × 541,865
  4. Step 4: Simplify right side
    244,729x = 293,617,678,225
  5. Step 5: Solve for x
    x = 293,617,678,225/244,729
  6. Step 6: Final answer
    x = 1,199,766.59

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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.