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Finding the Third Proportional to 300,098 and 475,203

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Solution

The third proportional to 300,098 and 475,203 is: 752,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,098 : 475,203 = 475,203 : x
  2. Step 2: Convert to fraction form
    300,098/475,203 = 475,203/x
  3. Step 3: Cross multiply
    300,098x = 475,203 × 475,203
  4. Step 4: Simplify right side
    300,098x = 225,817,891,209
  5. Step 5: Solve for x
    x = 225,817,891,209/300,098
  6. Step 6: Final answer
    x = 752,480.49

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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.