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Finding the Third Proportional to 311,041.50 and 682,347

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Solution

The third proportional to 311,041.50 and 682,347 is: 1,496,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,041.50 : 682,347 = 682,347 : x
  2. Step 2: Convert to fraction form
    311,041.50/682,347 = 682,347/x
  3. Step 3: Cross multiply
    311,041.50x = 682,347 × 682,347
  4. Step 4: Simplify right side
    311,041.50x = 465,597,428,409
  5. Step 5: Solve for x
    x = 465,597,428,409/311,041.50
  6. Step 6: Final answer
    x = 1,496,898.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.