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Finding the Third Proportional to 412,884 and 603,396

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Solution

The third proportional to 412,884 and 603,396 is: 881,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,884 : 603,396 = 603,396 : x
  2. Step 2: Convert to fraction form
    412,884/603,396 = 603,396/x
  3. Step 3: Cross multiply
    412,884x = 603,396 × 603,396
  4. Step 4: Simplify right side
    412,884x = 364,086,732,816
  5. Step 5: Solve for x
    x = 364,086,732,816/412,884
  6. Step 6: Final answer
    x = 881,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.