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Finding the Third Proportional to 292,249 and 628,199

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Solution

The third proportional to 292,249 and 628,199 is: 1,350,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,249 : 628,199 = 628,199 : x
  2. Step 2: Convert to fraction form
    292,249/628,199 = 628,199/x
  3. Step 3: Cross multiply
    292,249x = 628,199 × 628,199
  4. Step 4: Simplify right side
    292,249x = 394,633,983,601
  5. Step 5: Solve for x
    x = 394,633,983,601/292,249
  6. Step 6: Final answer
    x = 1,350,334.76

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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.