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Finding the Third Proportional to 292,238 and 629,619

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Solution

The third proportional to 292,238 and 629,619 is: 1,356,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,238 : 629,619 = 629,619 : x
  2. Step 2: Convert to fraction form
    292,238/629,619 = 629,619/x
  3. Step 3: Cross multiply
    292,238x = 629,619 × 629,619
  4. Step 4: Simplify right side
    292,238x = 396,420,085,161
  5. Step 5: Solve for x
    x = 396,420,085,161/292,238
  6. Step 6: Final answer
    x = 1,356,497.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.