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Finding the Third Proportional to 328,960 and 704,624

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Solution

The third proportional to 328,960 and 704,624 is: 1,509,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,960 : 704,624 = 704,624 : x
  2. Step 2: Convert to fraction form
    328,960/704,624 = 704,624/x
  3. Step 3: Cross multiply
    328,960x = 704,624 × 704,624
  4. Step 4: Simplify right side
    328,960x = 496,494,981,376
  5. Step 5: Solve for x
    x = 496,494,981,376/328,960
  6. Step 6: Final answer
    x = 1,509,286.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.