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Finding the Third Proportional to 424,078.50 and 922,951.50

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Solution

The third proportional to 424,078.50 and 922,951.50 is: 2,008,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,078.50 : 922,951.50 = 922,951.50 : x
  2. Step 2: Convert to fraction form
    424,078.50/922,951.50 = 922,951.50/x
  3. Step 3: Cross multiply
    424,078.50x = 922,951.50 × 922,951.50
  4. Step 4: Simplify right side
    424,078.50x = 851,839,471,352.25
  5. Step 5: Solve for x
    x = 851,839,471,352.25/424,078.50
  6. Step 6: Final answer
    x = 2,008,683.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.