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Finding the Third Proportional to 354,203 and 764,377

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Solution

The third proportional to 354,203 and 764,377 is: 1,649,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,203 : 764,377 = 764,377 : x
  2. Step 2: Convert to fraction form
    354,203/764,377 = 764,377/x
  3. Step 3: Cross multiply
    354,203x = 764,377 × 764,377
  4. Step 4: Simplify right side
    354,203x = 584,272,198,129
  5. Step 5: Solve for x
    x = 584,272,198,129/354,203
  6. Step 6: Final answer
    x = 1,649,540.51

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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.