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Finding the Third Proportional to 353,739 and 540,941

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Solution

The third proportional to 353,739 and 540,941 is: 827,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,739 : 540,941 = 540,941 : x
  2. Step 2: Convert to fraction form
    353,739/540,941 = 540,941/x
  3. Step 3: Cross multiply
    353,739x = 540,941 × 540,941
  4. Step 4: Simplify right side
    353,739x = 292,617,165,481
  5. Step 5: Solve for x
    x = 292,617,165,481/353,739
  6. Step 6: Final answer
    x = 827,212.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.