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Finding the Third Proportional to 384,601.50 and 834,808.50

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Solution

The third proportional to 384,601.50 and 834,808.50 is: 1,812,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,601.50 : 834,808.50 = 834,808.50 : x
  2. Step 2: Convert to fraction form
    384,601.50/834,808.50 = 834,808.50/x
  3. Step 3: Cross multiply
    384,601.50x = 834,808.50 × 834,808.50
  4. Step 4: Simplify right side
    384,601.50x = 696,905,231,672.25
  5. Step 5: Solve for x
    x = 696,905,231,672.25/384,601.50
  6. Step 6: Final answer
    x = 1,812,019.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.