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Finding the Third Proportional to 300,096 and 475,200

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Solution

The third proportional to 300,096 and 475,200 is: 752,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,096 : 475,200 = 475,200 : x
  2. Step 2: Convert to fraction form
    300,096/475,200 = 475,200/x
  3. Step 3: Cross multiply
    300,096x = 475,200 × 475,200
  4. Step 4: Simplify right side
    300,096x = 225,815,040,000
  5. Step 5: Solve for x
    x = 225,815,040,000/300,096
  6. Step 6: Final answer
    x = 752,476.01

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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.