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Finding the Third Proportional to 367,022 and 543,711

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Solution

The third proportional to 367,022 and 543,711 is: 805,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,022 : 543,711 = 543,711 : x
  2. Step 2: Convert to fraction form
    367,022/543,711 = 543,711/x
  3. Step 3: Cross multiply
    367,022x = 543,711 × 543,711
  4. Step 4: Simplify right side
    367,022x = 295,621,651,521
  5. Step 5: Solve for x
    x = 295,621,651,521/367,022
  6. Step 6: Final answer
    x = 805,460.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.