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Finding the Third Proportional to 202,324 and 437,451

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Solution

The third proportional to 202,324 and 437,451 is: 945,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,324 : 437,451 = 437,451 : x
  2. Step 2: Convert to fraction form
    202,324/437,451 = 437,451/x
  3. Step 3: Cross multiply
    202,324x = 437,451 × 437,451
  4. Step 4: Simplify right side
    202,324x = 191,363,377,401
  5. Step 5: Solve for x
    x = 191,363,377,401/202,324
  6. Step 6: Final answer
    x = 945,826.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.