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Finding the Third Proportional to 276,828 and 427,509

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Solution

The third proportional to 276,828 and 427,509 is: 660,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,828 : 427,509 = 427,509 : x
  2. Step 2: Convert to fraction form
    276,828/427,509 = 427,509/x
  3. Step 3: Cross multiply
    276,828x = 427,509 × 427,509
  4. Step 4: Simplify right side
    276,828x = 182,763,945,081
  5. Step 5: Solve for x
    x = 182,763,945,081/276,828
  6. Step 6: Final answer
    x = 660,207.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.