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Finding the Third Proportional to 194,410 and 404,331

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Solution

The third proportional to 194,410 and 404,331 is: 840,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410 : 404,331 = 404,331 : x
  2. Step 2: Convert to fraction form
    194,410/404,331 = 404,331/x
  3. Step 3: Cross multiply
    194,410x = 404,331 × 404,331
  4. Step 4: Simplify right side
    194,410x = 163,483,557,561
  5. Step 5: Solve for x
    x = 163,483,557,561/194,410
  6. Step 6: Final answer
    x = 840,921.54

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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.