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Finding the Third Proportional to 266,867 and 417,797

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Solution

The third proportional to 266,867 and 417,797 is: 654,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,867 : 417,797 = 417,797 : x
  2. Step 2: Convert to fraction form
    266,867/417,797 = 417,797/x
  3. Step 3: Cross multiply
    266,867x = 417,797 × 417,797
  4. Step 4: Simplify right side
    266,867x = 174,554,333,209
  5. Step 5: Solve for x
    x = 174,554,333,209/266,867
  6. Step 6: Final answer
    x = 654,087.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.