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Finding the Third Proportional to 291,134 and 629,014

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Solution

The third proportional to 291,134 and 629,014 is: 1,359,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134 : 629,014 = 629,014 : x
  2. Step 2: Convert to fraction form
    291,134/629,014 = 629,014/x
  3. Step 3: Cross multiply
    291,134x = 629,014 × 629,014
  4. Step 4: Simplify right side
    291,134x = 395,658,612,196
  5. Step 5: Solve for x
    x = 395,658,612,196/291,134
  6. Step 6: Final answer
    x = 1,359,025.78

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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.