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Finding the Third Proportional to 241,610.34 and 545,872.92

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Solution

The third proportional to 241,610.34 and 545,872.92 is: 1,233,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,610.34 : 545,872.92 = 545,872.92 : x
  2. Step 2: Convert to fraction form
    241,610.34/545,872.92 = 545,872.92/x
  3. Step 3: Cross multiply
    241,610.34x = 545,872.92 × 545,872.92
  4. Step 4: Simplify right side
    241,610.34x = 297,977,246,836.35
  5. Step 5: Solve for x
    x = 297,977,246,836.35/241,610.34
  6. Step 6: Final answer
    x = 1,233,296.73

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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.