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Finding the Third Proportional to 367,769 and 557,155

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Solution

The third proportional to 367,769 and 557,155 is: 844,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,769 : 557,155 = 557,155 : x
  2. Step 2: Convert to fraction form
    367,769/557,155 = 557,155/x
  3. Step 3: Cross multiply
    367,769x = 557,155 × 557,155
  4. Step 4: Simplify right side
    367,769x = 310,421,694,025
  5. Step 5: Solve for x
    x = 310,421,694,025/367,769
  6. Step 6: Final answer
    x = 844,067.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.