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Finding the Third Proportional to 412,794 and 631,017

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Solution

The third proportional to 412,794 and 631,017 is: 964,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,794 : 631,017 = 631,017 : x
  2. Step 2: Convert to fraction form
    412,794/631,017 = 631,017/x
  3. Step 3: Cross multiply
    412,794x = 631,017 × 631,017
  4. Step 4: Simplify right side
    412,794x = 398,182,454,289
  5. Step 5: Solve for x
    x = 398,182,454,289/412,794
  6. Step 6: Final answer
    x = 964,603.30

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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.