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Finding the Third Proportional to 638,380.81 and 948,527.42

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Solution

The third proportional to 638,380.81 and 948,527.42 is: 1,409,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,380.81 : 948,527.42 = 948,527.42 : x
  2. Step 2: Convert to fraction form
    638,380.81/948,527.42 = 948,527.42/x
  3. Step 3: Cross multiply
    638,380.81x = 948,527.42 × 948,527.42
  4. Step 4: Simplify right side
    638,380.81x = 899,704,270,511.98
  5. Step 5: Solve for x
    x = 899,704,270,511.98/638,380.81
  6. Step 6: Final answer
    x = 1,409,353.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.