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Finding the Third Proportional to 328,350 and 696,238

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Solution

The third proportional to 328,350 and 696,238 is: 1,476,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,350 : 696,238 = 696,238 : x
  2. Step 2: Convert to fraction form
    328,350/696,238 = 696,238/x
  3. Step 3: Cross multiply
    328,350x = 696,238 × 696,238
  4. Step 4: Simplify right side
    328,350x = 484,747,352,644
  5. Step 5: Solve for x
    x = 484,747,352,644/328,350
  6. Step 6: Final answer
    x = 1,476,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.