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Finding the Third Proportional to 412,936 and 631,248

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Solution

The third proportional to 412,936 and 631,248 is: 964,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,936 : 631,248 = 631,248 : x
  2. Step 2: Convert to fraction form
    412,936/631,248 = 631,248/x
  3. Step 3: Cross multiply
    412,936x = 631,248 × 631,248
  4. Step 4: Simplify right side
    412,936x = 398,474,037,504
  5. Step 5: Solve for x
    x = 398,474,037,504/412,936
  6. Step 6: Final answer
    x = 964,977.71

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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.