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Finding the Third Proportional to 424,353.94 and 576,661.78

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Solution

The third proportional to 424,353.94 and 576,661.78 is: 783,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,353.94 : 576,661.78 = 576,661.78 : x
  2. Step 2: Convert to fraction form
    424,353.94/576,661.78 = 576,661.78/x
  3. Step 3: Cross multiply
    424,353.94x = 576,661.78 × 576,661.78
  4. Step 4: Simplify right side
    424,353.94x = 332,538,809,954.42
  5. Step 5: Solve for x
    x = 332,538,809,954.42/424,353.94
  6. Step 6: Final answer
    x = 783,635.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.