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Finding the Third Proportional to 262,096 and 561,584

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Solution

The third proportional to 262,096 and 561,584 is: 1,203,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,096 : 561,584 = 561,584 : x
  2. Step 2: Convert to fraction form
    262,096/561,584 = 561,584/x
  3. Step 3: Cross multiply
    262,096x = 561,584 × 561,584
  4. Step 4: Simplify right side
    262,096x = 315,376,589,056
  5. Step 5: Solve for x
    x = 315,376,589,056/262,096
  6. Step 6: Final answer
    x = 1,203,286.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.