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Finding the Third Proportional to 220,745.25 and 476,768.53

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Solution

The third proportional to 220,745.25 and 476,768.53 is: 1,029,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,745.25 : 476,768.53 = 476,768.53 : x
  2. Step 2: Convert to fraction form
    220,745.25/476,768.53 = 476,768.53/x
  3. Step 3: Cross multiply
    220,745.25x = 476,768.53 × 476,768.53
  4. Step 4: Simplify right side
    220,745.25x = 227,308,232,390.28
  5. Step 5: Solve for x
    x = 227,308,232,390.28/220,745.25
  6. Step 6: Final answer
    x = 1,029,731.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.