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Finding the Third Proportional to 244,722 and 541,851

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Solution

The third proportional to 244,722 and 541,851 is: 1,199,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,722 : 541,851 = 541,851 : x
  2. Step 2: Convert to fraction form
    244,722/541,851 = 541,851/x
  3. Step 3: Cross multiply
    244,722x = 541,851 × 541,851
  4. Step 4: Simplify right side
    244,722x = 293,602,506,201
  5. Step 5: Solve for x
    x = 293,602,506,201/244,722
  6. Step 6: Final answer
    x = 1,199,738.91

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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.