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Finding the Third Proportional to 350,002 and 524,893

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Solution

The third proportional to 350,002 and 524,893 is: 787,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,002 : 524,893 = 524,893 : x
  2. Step 2: Convert to fraction form
    350,002/524,893 = 524,893/x
  3. Step 3: Cross multiply
    350,002x = 524,893 × 524,893
  4. Step 4: Simplify right side
    350,002x = 275,512,661,449
  5. Step 5: Solve for x
    x = 275,512,661,449/350,002
  6. Step 6: Final answer
    x = 787,174.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.