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Finding the Third Proportional to 244,708 and 541,823

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Solution

The third proportional to 244,708 and 541,823 is: 1,199,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,708 : 541,823 = 541,823 : x
  2. Step 2: Convert to fraction form
    244,708/541,823 = 541,823/x
  3. Step 3: Cross multiply
    244,708x = 541,823 × 541,823
  4. Step 4: Simplify right side
    244,708x = 293,572,163,329
  5. Step 5: Solve for x
    x = 293,572,163,329/244,708
  6. Step 6: Final answer
    x = 1,199,683.55

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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.