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Finding the Third Proportional to 194,788 and 404,552

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Solution

The third proportional to 194,788 and 404,552 is: 840,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,788 : 404,552 = 404,552 : x
  2. Step 2: Convert to fraction form
    194,788/404,552 = 404,552/x
  3. Step 3: Cross multiply
    194,788x = 404,552 × 404,552
  4. Step 4: Simplify right side
    194,788x = 163,662,320,704
  5. Step 5: Solve for x
    x = 163,662,320,704/194,788
  6. Step 6: Final answer
    x = 840,207.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.