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Finding the Third Proportional to 386,370 and 814,692

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Solution

The third proportional to 386,370 and 814,692 is: 1,717,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370 : 814,692 = 814,692 : x
  2. Step 2: Convert to fraction form
    386,370/814,692 = 814,692/x
  3. Step 3: Cross multiply
    386,370x = 814,692 × 814,692
  4. Step 4: Simplify right side
    386,370x = 663,723,054,864
  5. Step 5: Solve for x
    x = 663,723,054,864/386,370
  6. Step 6: Final answer
    x = 1,717,843.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.