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Finding the Third Proportional to 277,004.81 and 396,082.41

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Solution

The third proportional to 277,004.81 and 396,082.41 is: 566,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,004.81 : 396,082.41 = 396,082.41 : x
  2. Step 2: Convert to fraction form
    277,004.81/396,082.41 = 396,082.41/x
  3. Step 3: Cross multiply
    277,004.81x = 396,082.41 × 396,082.41
  4. Step 4: Simplify right side
    277,004.81x = 156,881,272,540.79
  5. Step 5: Solve for x
    x = 156,881,272,540.79/277,004.81
  6. Step 6: Final answer
    x = 566,348.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.