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Finding the Third Proportional to 367,026 and 543,717

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Solution

The third proportional to 367,026 and 543,717 is: 805,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,026 : 543,717 = 543,717 : x
  2. Step 2: Convert to fraction form
    367,026/543,717 = 543,717/x
  3. Step 3: Cross multiply
    367,026x = 543,717 × 543,717
  4. Step 4: Simplify right side
    367,026x = 295,628,176,089
  5. Step 5: Solve for x
    x = 295,628,176,089/367,026
  6. Step 6: Final answer
    x = 805,469.30

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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.