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Finding the Third Proportional to 241,991 and 555,441

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Solution

The third proportional to 241,991 and 555,441 is: 1,274,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,991 : 555,441 = 555,441 : x
  2. Step 2: Convert to fraction form
    241,991/555,441 = 555,441/x
  3. Step 3: Cross multiply
    241,991x = 555,441 × 555,441
  4. Step 4: Simplify right side
    241,991x = 308,514,704,481
  5. Step 5: Solve for x
    x = 308,514,704,481/241,991
  6. Step 6: Final answer
    x = 1,274,901.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.