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Finding the Third Proportional to 367,029 and 543,721

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Solution

The third proportional to 367,029 and 543,721 is: 805,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,029 : 543,721 = 543,721 : x
  2. Step 2: Convert to fraction form
    367,029/543,721 = 543,721/x
  3. Step 3: Cross multiply
    367,029x = 543,721 × 543,721
  4. Step 4: Simplify right side
    367,029x = 295,632,525,841
  5. Step 5: Solve for x
    x = 295,632,525,841/367,029
  6. Step 6: Final answer
    x = 805,474.57

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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.