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Finding the Third Proportional to 367,037 and 543,733

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Solution

The third proportional to 367,037 and 543,733 is: 805,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,037 : 543,733 = 543,733 : x
  2. Step 2: Convert to fraction form
    367,037/543,733 = 543,733/x
  3. Step 3: Cross multiply
    367,037x = 543,733 × 543,733
  4. Step 4: Simplify right side
    367,037x = 295,645,575,289
  5. Step 5: Solve for x
    x = 295,645,575,289/367,037
  6. Step 6: Final answer
    x = 805,492.57

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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.