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Finding the Third Proportional to 299,724 and 329,612

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Solution

The third proportional to 299,724 and 329,612 is: 362,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724 : 329,612 = 329,612 : x
  2. Step 2: Convert to fraction form
    299,724/329,612 = 329,612/x
  3. Step 3: Cross multiply
    299,724x = 329,612 × 329,612
  4. Step 4: Simplify right side
    299,724x = 108,644,070,544
  5. Step 5: Solve for x
    x = 108,644,070,544/299,724
  6. Step 6: Final answer
    x = 362,480.38

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.