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Finding the Third Proportional to 200,414 and 311,704

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Solution

The third proportional to 200,414 and 311,704 is: 484,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,414 : 311,704 = 311,704 : x
  2. Step 2: Convert to fraction form
    200,414/311,704 = 311,704/x
  3. Step 3: Cross multiply
    200,414x = 311,704 × 311,704
  4. Step 4: Simplify right side
    200,414x = 97,159,383,616
  5. Step 5: Solve for x
    x = 97,159,383,616/200,414
  6. Step 6: Final answer
    x = 484,793.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.