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Finding the Third Proportional to 275,282 and 402,299

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Solution

The third proportional to 275,282 and 402,299 is: 587,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,282 : 402,299 = 402,299 : x
  2. Step 2: Convert to fraction form
    275,282/402,299 = 402,299/x
  3. Step 3: Cross multiply
    275,282x = 402,299 × 402,299
  4. Step 4: Simplify right side
    275,282x = 161,844,485,401
  5. Step 5: Solve for x
    x = 161,844,485,401/275,282
  6. Step 6: Final answer
    x = 587,922.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.