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Finding the Third Proportional to 247,084 and 541,446

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Solution

The third proportional to 247,084 and 541,446 is: 1,186,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,084 : 541,446 = 541,446 : x
  2. Step 2: Convert to fraction form
    247,084/541,446 = 541,446/x
  3. Step 3: Cross multiply
    247,084x = 541,446 × 541,446
  4. Step 4: Simplify right side
    247,084x = 293,163,770,916
  5. Step 5: Solve for x
    x = 293,163,770,916/247,084
  6. Step 6: Final answer
    x = 1,186,494.35

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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.