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Finding the Third Proportional to 251,854 and 548,015

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Solution

The third proportional to 251,854 and 548,015 is: 1,192,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,854 : 548,015 = 548,015 : x
  2. Step 2: Convert to fraction form
    251,854/548,015 = 548,015/x
  3. Step 3: Cross multiply
    251,854x = 548,015 × 548,015
  4. Step 4: Simplify right side
    251,854x = 300,320,440,225
  5. Step 5: Solve for x
    x = 300,320,440,225/251,854
  6. Step 6: Final answer
    x = 1,192,438.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.