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Finding the Third Proportional to 367,033 and 543,727

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Solution

The third proportional to 367,033 and 543,727 is: 805,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,033 : 543,727 = 543,727 : x
  2. Step 2: Convert to fraction form
    367,033/543,727 = 543,727/x
  3. Step 3: Cross multiply
    367,033x = 543,727 × 543,727
  4. Step 4: Simplify right side
    367,033x = 295,639,050,529
  5. Step 5: Solve for x
    x = 295,639,050,529/367,033
  6. Step 6: Final answer
    x = 805,483.57

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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.