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Finding the Third Proportional to 212,489 and 457,765

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Solution

The third proportional to 212,489 and 457,765 is: 986,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,489 : 457,765 = 457,765 : x
  2. Step 2: Convert to fraction form
    212,489/457,765 = 457,765/x
  3. Step 3: Cross multiply
    212,489x = 457,765 × 457,765
  4. Step 4: Simplify right side
    212,489x = 209,548,795,225
  5. Step 5: Solve for x
    x = 209,548,795,225/212,489
  6. Step 6: Final answer
    x = 986,163.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.