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Finding the Third Proportional to 291,960 and 629,496

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Solution

The third proportional to 291,960 and 629,496 is: 1,357,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,960 : 629,496 = 629,496 : x
  2. Step 2: Convert to fraction form
    291,960/629,496 = 629,496/x
  3. Step 3: Cross multiply
    291,960x = 629,496 × 629,496
  4. Step 4: Simplify right side
    291,960x = 396,265,214,016
  5. Step 5: Solve for x
    x = 396,265,214,016/291,960
  6. Step 6: Final answer
    x = 1,357,258.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.