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Finding the Third Proportional to 379,062 and 591,399

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Solution

The third proportional to 379,062 and 591,399 is: 922,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,062 : 591,399 = 591,399 : x
  2. Step 2: Convert to fraction form
    379,062/591,399 = 591,399/x
  3. Step 3: Cross multiply
    379,062x = 591,399 × 591,399
  4. Step 4: Simplify right side
    379,062x = 349,752,777,201
  5. Step 5: Solve for x
    x = 349,752,777,201/379,062
  6. Step 6: Final answer
    x = 922,679.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.