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Finding the Third Proportional to 329,204 and 708,349

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Solution

The third proportional to 329,204 and 708,349 is: 1,524,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,204 : 708,349 = 708,349 : x
  2. Step 2: Convert to fraction form
    329,204/708,349 = 708,349/x
  3. Step 3: Cross multiply
    329,204x = 708,349 × 708,349
  4. Step 4: Simplify right side
    329,204x = 501,758,305,801
  5. Step 5: Solve for x
    x = 501,758,305,801/329,204
  6. Step 6: Final answer
    x = 1,524,156.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.