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Finding the Third Proportional to 257,920,180 and 544,951,400

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Solution

The third proportional to 257,920,180 and 544,951,400 is: 1,151,410,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,920,180 : 544,951,400 = 544,951,400 : x
  2. Step 2: Convert to fraction form
    257,920,180/544,951,400 = 544,951,400/x
  3. Step 3: Cross multiply
    257,920,180x = 544,951,400 × 544,951,400
  4. Step 4: Simplify right side
    257,920,180x = 296,972,028,361,960,000
  5. Step 5: Solve for x
    x = 296,972,028,361,960,000/257,920,180
  6. Step 6: Final answer
    x = 1,151,410,596.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.