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Finding the Third Proportional to 275,868 and 591,093

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Solution

The third proportional to 275,868 and 591,093 is: 1,266,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,868 : 591,093 = 591,093 : x
  2. Step 2: Convert to fraction form
    275,868/591,093 = 591,093/x
  3. Step 3: Cross multiply
    275,868x = 591,093 × 591,093
  4. Step 4: Simplify right side
    275,868x = 349,390,934,649
  5. Step 5: Solve for x
    x = 349,390,934,649/275,868
  6. Step 6: Final answer
    x = 1,266,514.91

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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.