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Finding the Third Proportional to 298,206 and 640,908

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Solution

The third proportional to 298,206 and 640,908 is: 1,377,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,206 : 640,908 = 640,908 : x
  2. Step 2: Convert to fraction form
    298,206/640,908 = 640,908/x
  3. Step 3: Cross multiply
    298,206x = 640,908 × 640,908
  4. Step 4: Simplify right side
    298,206x = 410,763,064,464
  5. Step 5: Solve for x
    x = 410,763,064,464/298,206
  6. Step 6: Final answer
    x = 1,377,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.