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Finding the Third Proportional to 647,082 and 862,057.50

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Solution

The third proportional to 647,082 and 862,057.50 is: 1,148,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,082 : 862,057.50 = 862,057.50 : x
  2. Step 2: Convert to fraction form
    647,082/862,057.50 = 862,057.50/x
  3. Step 3: Cross multiply
    647,082x = 862,057.50 × 862,057.50
  4. Step 4: Simplify right side
    647,082x = 743,143,133,306.25
  5. Step 5: Solve for x
    x = 743,143,133,306.25/647,082
  6. Step 6: Final answer
    x = 1,148,452.80

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.