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Finding the Third Proportional to 250,659.75 and 521,973.38

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Solution

The third proportional to 250,659.75 and 521,973.38 is: 1,086,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,659.75 : 521,973.38 = 521,973.38 : x
  2. Step 2: Convert to fraction form
    250,659.75/521,973.38 = 521,973.38/x
  3. Step 3: Cross multiply
    250,659.75x = 521,973.38 × 521,973.38
  4. Step 4: Simplify right side
    250,659.75x = 272,456,204,208.89
  5. Step 5: Solve for x
    x = 272,456,204,208.89/250,659.75
  6. Step 6: Final answer
    x = 1,086,956.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.