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Finding the Third Proportional to 276,530 and 439,702

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Solution

The third proportional to 276,530 and 439,702 is: 699,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,530 : 439,702 = 439,702 : x
  2. Step 2: Convert to fraction form
    276,530/439,702 = 439,702/x
  3. Step 3: Cross multiply
    276,530x = 439,702 × 439,702
  4. Step 4: Simplify right side
    276,530x = 193,337,848,804
  5. Step 5: Solve for x
    x = 193,337,848,804/276,530
  6. Step 6: Final answer
    x = 699,156.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.