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Finding the Third Proportional to 367,434 and 562,087

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Solution

The third proportional to 367,434 and 562,087 is: 859,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,434 : 562,087 = 562,087 : x
  2. Step 2: Convert to fraction form
    367,434/562,087 = 562,087/x
  3. Step 3: Cross multiply
    367,434x = 562,087 × 562,087
  4. Step 4: Simplify right side
    367,434x = 315,941,795,569
  5. Step 5: Solve for x
    x = 315,941,795,569/367,434
  6. Step 6: Final answer
    x = 859,859.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.