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Finding the Third Proportional to 199,376 and 437,505

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Solution

The third proportional to 199,376 and 437,505 is: 960,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,376 : 437,505 = 437,505 : x
  2. Step 2: Convert to fraction form
    199,376/437,505 = 437,505/x
  3. Step 3: Cross multiply
    199,376x = 437,505 × 437,505
  4. Step 4: Simplify right side
    199,376x = 191,410,625,025
  5. Step 5: Solve for x
    x = 191,410,625,025/199,376
  6. Step 6: Final answer
    x = 960,048.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.