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Finding the Third Proportional to 266,733 and 579,255

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Solution

The third proportional to 266,733 and 579,255 is: 1,257,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,733 : 579,255 = 579,255 : x
  2. Step 2: Convert to fraction form
    266,733/579,255 = 579,255/x
  3. Step 3: Cross multiply
    266,733x = 579,255 × 579,255
  4. Step 4: Simplify right side
    266,733x = 335,536,355,025
  5. Step 5: Solve for x
    x = 335,536,355,025/266,733
  6. Step 6: Final answer
    x = 1,257,948.42

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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.