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Finding the Third Proportional to 350,829 and 529,401

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Solution

The third proportional to 350,829 and 529,401 is: 798,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,829 : 529,401 = 529,401 : x
  2. Step 2: Convert to fraction form
    350,829/529,401 = 529,401/x
  3. Step 3: Cross multiply
    350,829x = 529,401 × 529,401
  4. Step 4: Simplify right side
    350,829x = 280,265,418,801
  5. Step 5: Solve for x
    x = 280,265,418,801/350,829
  6. Step 6: Final answer
    x = 798,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.