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Finding the Third Proportional to 372,944.25 and 814,203

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Solution

The third proportional to 372,944.25 and 814,203 is: 1,777,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,944.25 : 814,203 = 814,203 : x
  2. Step 2: Convert to fraction form
    372,944.25/814,203 = 814,203/x
  3. Step 3: Cross multiply
    372,944.25x = 814,203 × 814,203
  4. Step 4: Simplify right side
    372,944.25x = 662,926,525,209
  5. Step 5: Solve for x
    x = 662,926,525,209/372,944.25
  6. Step 6: Final answer
    x = 1,777,548.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.