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Finding the Third Proportional to 241,936.88 and 546,305.77

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Solution

The third proportional to 241,936.88 and 546,305.77 is: 1,233,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,936.88 : 546,305.77 = 546,305.77 : x
  2. Step 2: Convert to fraction form
    241,936.88/546,305.77 = 546,305.77/x
  3. Step 3: Cross multiply
    241,936.88x = 546,305.77 × 546,305.77
  4. Step 4: Simplify right side
    241,936.88x = 298,449,989,555.12
  5. Step 5: Solve for x
    x = 298,449,989,555.12/241,936.88
  6. Step 6: Final answer
    x = 1,233,586.20

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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.