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Finding the Third Proportional to 300,194 and 475,347

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Solution

The third proportional to 300,194 and 475,347 is: 752,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,194 : 475,347 = 475,347 : x
  2. Step 2: Convert to fraction form
    300,194/475,347 = 475,347/x
  3. Step 3: Cross multiply
    300,194x = 475,347 × 475,347
  4. Step 4: Simplify right side
    300,194x = 225,954,770,409
  5. Step 5: Solve for x
    x = 225,954,770,409/300,194
  6. Step 6: Final answer
    x = 752,695.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.