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Finding the Third Proportional to 327,480 and 505,692

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Solution

The third proportional to 327,480 and 505,692 is: 780,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,480 : 505,692 = 505,692 : x
  2. Step 2: Convert to fraction form
    327,480/505,692 = 505,692/x
  3. Step 3: Cross multiply
    327,480x = 505,692 × 505,692
  4. Step 4: Simplify right side
    327,480x = 255,724,398,864
  5. Step 5: Solve for x
    x = 255,724,398,864/327,480
  6. Step 6: Final answer
    x = 780,885.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.