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Finding the Third Proportional to 367,074 and 543,783

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Solution

The third proportional to 367,074 and 543,783 is: 805,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,074 : 543,783 = 543,783 : x
  2. Step 2: Convert to fraction form
    367,074/543,783 = 543,783/x
  3. Step 3: Cross multiply
    367,074x = 543,783 × 543,783
  4. Step 4: Simplify right side
    367,074x = 295,699,951,089
  5. Step 5: Solve for x
    x = 295,699,951,089/367,074
  6. Step 6: Final answer
    x = 805,559.51

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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.