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Finding the Third Proportional to 246,761.44 and 540,649.69

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Solution

The third proportional to 246,761.44 and 540,649.69 is: 1,184,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,761.44 : 540,649.69 = 540,649.69 : x
  2. Step 2: Convert to fraction form
    246,761.44/540,649.69 = 540,649.69/x
  3. Step 3: Cross multiply
    246,761.44x = 540,649.69 × 540,649.69
  4. Step 4: Simplify right side
    246,761.44x = 292,302,084,593.85
  5. Step 5: Solve for x
    x = 292,302,084,593.85/246,761.44
  6. Step 6: Final answer
    x = 1,184,553.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.