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Finding the Third Proportional to 275,847 and 591,058

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Solution

The third proportional to 275,847 and 591,058 is: 1,266,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847 : 591,058 = 591,058 : x
  2. Step 2: Convert to fraction form
    275,847/591,058 = 591,058/x
  3. Step 3: Cross multiply
    275,847x = 591,058 × 591,058
  4. Step 4: Simplify right side
    275,847x = 349,349,559,364
  5. Step 5: Solve for x
    x = 349,349,559,364/275,847
  6. Step 6: Final answer
    x = 1,266,461.33

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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.