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Finding the Third Proportional to 299,000 and 475,472

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Solution

The third proportional to 299,000 and 475,472 is: 756,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000 : 475,472 = 475,472 : x
  2. Step 2: Convert to fraction form
    299,000/475,472 = 475,472/x
  3. Step 3: Cross multiply
    299,000x = 475,472 × 475,472
  4. Step 4: Simplify right side
    299,000x = 226,073,622,784
  5. Step 5: Solve for x
    x = 226,073,622,784/299,000
  6. Step 6: Final answer
    x = 756,099.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.