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Finding the Third Proportional to 328,414 and 705,942

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Solution

The third proportional to 328,414 and 705,942 is: 1,517,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,414 : 705,942 = 705,942 : x
  2. Step 2: Convert to fraction form
    328,414/705,942 = 705,942/x
  3. Step 3: Cross multiply
    328,414x = 705,942 × 705,942
  4. Step 4: Simplify right side
    328,414x = 498,354,107,364
  5. Step 5: Solve for x
    x = 498,354,107,364/328,414
  6. Step 6: Final answer
    x = 1,517,456.95

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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.