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Finding the Third Proportional to 669,414 and 936,305

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Solution

The third proportional to 669,414 and 936,305 is: 1,309,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,414 : 936,305 = 936,305 : x
  2. Step 2: Convert to fraction form
    669,414/936,305 = 936,305/x
  3. Step 3: Cross multiply
    669,414x = 936,305 × 936,305
  4. Step 4: Simplify right side
    669,414x = 876,667,053,025
  5. Step 5: Solve for x
    x = 876,667,053,025/669,414
  6. Step 6: Final answer
    x = 1,309,603.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.