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Finding the Third Proportional to 202,792 and 469,451

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Solution

The third proportional to 202,792 and 469,451 is: 1,086,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,792 : 469,451 = 469,451 : x
  2. Step 2: Convert to fraction form
    202,792/469,451 = 469,451/x
  3. Step 3: Cross multiply
    202,792x = 469,451 × 469,451
  4. Step 4: Simplify right side
    202,792x = 220,384,241,401
  5. Step 5: Solve for x
    x = 220,384,241,401/202,792
  6. Step 6: Final answer
    x = 1,086,750.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.