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Finding the Third Proportional to 241,577.44 and 545,790.66

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Solution

The third proportional to 241,577.44 and 545,790.66 is: 1,233,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,577.44 : 545,790.66 = 545,790.66 : x
  2. Step 2: Convert to fraction form
    241,577.44/545,790.66 = 545,790.66/x
  3. Step 3: Cross multiply
    241,577.44x = 545,790.66 × 545,790.66
  4. Step 4: Simplify right side
    241,577.44x = 297,887,440,449.81
  5. Step 5: Solve for x
    x = 297,887,440,449.81/241,577.44
  6. Step 6: Final answer
    x = 1,233,092.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.