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Finding the Third Proportional to 309,076 and 677,204

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Solution

The third proportional to 309,076 and 677,204 is: 1,483,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,076 : 677,204 = 677,204 : x
  2. Step 2: Convert to fraction form
    309,076/677,204 = 677,204/x
  3. Step 3: Cross multiply
    309,076x = 677,204 × 677,204
  4. Step 4: Simplify right side
    309,076x = 458,605,257,616
  5. Step 5: Solve for x
    x = 458,605,257,616/309,076
  6. Step 6: Final answer
    x = 1,483,794.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.