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Finding the Third Proportional to 306,104 and 666,422

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Solution

The third proportional to 306,104 and 666,422 is: 1,450,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,104 : 666,422 = 666,422 : x
  2. Step 2: Convert to fraction form
    306,104/666,422 = 666,422/x
  3. Step 3: Cross multiply
    306,104x = 666,422 × 666,422
  4. Step 4: Simplify right side
    306,104x = 444,118,282,084
  5. Step 5: Solve for x
    x = 444,118,282,084/306,104
  6. Step 6: Final answer
    x = 1,450,873.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.