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Finding the Third Proportional to 292,204 and 606,872

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Solution

The third proportional to 292,204 and 606,872 is: 1,260,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,204 : 606,872 = 606,872 : x
  2. Step 2: Convert to fraction form
    292,204/606,872 = 606,872/x
  3. Step 3: Cross multiply
    292,204x = 606,872 × 606,872
  4. Step 4: Simplify right side
    292,204x = 368,293,624,384
  5. Step 5: Solve for x
    x = 368,293,624,384/292,204
  6. Step 6: Final answer
    x = 1,260,398.98

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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.