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Finding the Third Proportional to 379,066 and 591,406

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Solution

The third proportional to 379,066 and 591,406 is: 922,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,066 : 591,406 = 591,406 : x
  2. Step 2: Convert to fraction form
    379,066/591,406 = 591,406/x
  3. Step 3: Cross multiply
    379,066x = 591,406 × 591,406
  4. Step 4: Simplify right side
    379,066x = 349,761,056,836
  5. Step 5: Solve for x
    x = 349,761,056,836/379,066
  6. Step 6: Final answer
    x = 922,691.71

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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.