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Finding the Third Proportional to 404,406 and 619,482

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Solution

The third proportional to 404,406 and 619,482 is: 948,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,406 : 619,482 = 619,482 : x
  2. Step 2: Convert to fraction form
    404,406/619,482 = 619,482/x
  3. Step 3: Cross multiply
    404,406x = 619,482 × 619,482
  4. Step 4: Simplify right side
    404,406x = 383,757,948,324
  5. Step 5: Solve for x
    x = 383,757,948,324/404,406
  6. Step 6: Final answer
    x = 948,942.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.