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Finding the Third Proportional to 257,829.75 and 567,965.25

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Solution

The third proportional to 257,829.75 and 567,965.25 is: 1,251,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,829.75 : 567,965.25 = 567,965.25 : x
  2. Step 2: Convert to fraction form
    257,829.75/567,965.25 = 567,965.25/x
  3. Step 3: Cross multiply
    257,829.75x = 567,965.25 × 567,965.25
  4. Step 4: Simplify right side
    257,829.75x = 322,584,525,207.56
  5. Step 5: Solve for x
    x = 322,584,525,207.56/257,829.75
  6. Step 6: Final answer
    x = 1,251,153.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.