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Finding the Third Proportional to 366,930 and 543,591

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Solution

The third proportional to 366,930 and 543,591 is: 805,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,930 : 543,591 = 543,591 : x
  2. Step 2: Convert to fraction form
    366,930/543,591 = 543,591/x
  3. Step 3: Cross multiply
    366,930x = 543,591 × 543,591
  4. Step 4: Simplify right side
    366,930x = 295,491,175,281
  5. Step 5: Solve for x
    x = 295,491,175,281/366,930
  6. Step 6: Final answer
    x = 805,306.67

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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.