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Finding the Third Proportional to 317,962 and 673,832

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Solution

The third proportional to 317,962 and 673,832 is: 1,427,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,962 : 673,832 = 673,832 : x
  2. Step 2: Convert to fraction form
    317,962/673,832 = 673,832/x
  3. Step 3: Cross multiply
    317,962x = 673,832 × 673,832
  4. Step 4: Simplify right side
    317,962x = 454,049,564,224
  5. Step 5: Solve for x
    x = 454,049,564,224/317,962
  6. Step 6: Final answer
    x = 1,427,999.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.