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Finding the Third Proportional to 275,761.34 and 413,502.47

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Solution

The third proportional to 275,761.34 and 413,502.47 is: 620,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,761.34 : 413,502.47 = 413,502.47 : x
  2. Step 2: Convert to fraction form
    275,761.34/413,502.47 = 413,502.47/x
  3. Step 3: Cross multiply
    275,761.34x = 413,502.47 × 413,502.47
  4. Step 4: Simplify right side
    275,761.34x = 170,984,291,662.35
  5. Step 5: Solve for x
    x = 170,984,291,662.35/275,761.34
  6. Step 6: Final answer
    x = 620,044.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.