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Finding the Third Proportional to 299,203 and 437,232

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Solution

The third proportional to 299,203 and 437,232 is: 638,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,203 : 437,232 = 437,232 : x
  2. Step 2: Convert to fraction form
    299,203/437,232 = 437,232/x
  3. Step 3: Cross multiply
    299,203x = 437,232 × 437,232
  4. Step 4: Simplify right side
    299,203x = 191,171,821,824
  5. Step 5: Solve for x
    x = 191,171,821,824/299,203
  6. Step 6: Final answer
    x = 638,936.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.