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Finding the Third Proportional to 283,082 and 667,313

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Solution

The third proportional to 283,082 and 667,313 is: 1,573,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,082 : 667,313 = 667,313 : x
  2. Step 2: Convert to fraction form
    283,082/667,313 = 667,313/x
  3. Step 3: Cross multiply
    283,082x = 667,313 × 667,313
  4. Step 4: Simplify right side
    283,082x = 445,306,639,969
  5. Step 5: Solve for x
    x = 445,306,639,969/283,082
  6. Step 6: Final answer
    x = 1,573,065.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.