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Finding the Third Proportional to 266,339 and 570,586

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Solution

The third proportional to 266,339 and 570,586 is: 1,222,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,339 : 570,586 = 570,586 : x
  2. Step 2: Convert to fraction form
    266,339/570,586 = 570,586/x
  3. Step 3: Cross multiply
    266,339x = 570,586 × 570,586
  4. Step 4: Simplify right side
    266,339x = 325,568,383,396
  5. Step 5: Solve for x
    x = 325,568,383,396/266,339
  6. Step 6: Final answer
    x = 1,222,383.44

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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.