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Finding the Third Proportional to 207,825.75 and 446,733

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Solution

The third proportional to 207,825.75 and 446,733 is: 960,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.75 : 446,733 = 446,733 : x
  2. Step 2: Convert to fraction form
    207,825.75/446,733 = 446,733/x
  3. Step 3: Cross multiply
    207,825.75x = 446,733 × 446,733
  4. Step 4: Simplify right side
    207,825.75x = 199,570,373,289
  5. Step 5: Solve for x
    x = 199,570,373,289/207,825.75
  6. Step 6: Final answer
    x = 960,277.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.