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Finding the Third Proportional to 266,880 and 580,224

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Solution

The third proportional to 266,880 and 580,224 is: 1,261,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,880 : 580,224 = 580,224 : x
  2. Step 2: Convert to fraction form
    266,880/580,224 = 580,224/x
  3. Step 3: Cross multiply
    266,880x = 580,224 × 580,224
  4. Step 4: Simplify right side
    266,880x = 336,659,890,176
  5. Step 5: Solve for x
    x = 336,659,890,176/266,880
  6. Step 6: Final answer
    x = 1,261,465.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.