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Finding the Third Proportional to 250,655.25 and 521,964.75

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Solution

The third proportional to 250,655.25 and 521,964.75 is: 1,086,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,655.25 : 521,964.75 = 521,964.75 : x
  2. Step 2: Convert to fraction form
    250,655.25/521,964.75 = 521,964.75/x
  3. Step 3: Cross multiply
    250,655.25x = 521,964.75 × 521,964.75
  4. Step 4: Simplify right side
    250,655.25x = 272,447,200,242.56
  5. Step 5: Solve for x
    x = 272,447,200,242.56/250,655.25
  6. Step 6: Final answer
    x = 1,086,939.93

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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.