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Finding the Third Proportional to 247,093 and 541,462

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Solution

The third proportional to 247,093 and 541,462 is: 1,186,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,093 : 541,462 = 541,462 : x
  2. Step 2: Convert to fraction form
    247,093/541,462 = 541,462/x
  3. Step 3: Cross multiply
    247,093x = 541,462 × 541,462
  4. Step 4: Simplify right side
    247,093x = 293,181,097,444
  5. Step 5: Solve for x
    x = 293,181,097,444/247,093
  6. Step 6: Final answer
    x = 1,186,521.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.