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Finding the Third Proportional to 367,040 and 543,738

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Solution

The third proportional to 367,040 and 543,738 is: 805,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040 : 543,738 = 543,738 : x
  2. Step 2: Convert to fraction form
    367,040/543,738 = 543,738/x
  3. Step 3: Cross multiply
    367,040x = 543,738 × 543,738
  4. Step 4: Simplify right side
    367,040x = 295,651,012,644
  5. Step 5: Solve for x
    x = 295,651,012,644/367,040
  6. Step 6: Final answer
    x = 805,500.80

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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.