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Finding the Third Proportional to 301,908 and 633,192

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Solution

The third proportional to 301,908 and 633,192 is: 1,327,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,908 : 633,192 = 633,192 : x
  2. Step 2: Convert to fraction form
    301,908/633,192 = 633,192/x
  3. Step 3: Cross multiply
    301,908x = 633,192 × 633,192
  4. Step 4: Simplify right side
    301,908x = 400,932,108,864
  5. Step 5: Solve for x
    x = 400,932,108,864/301,908
  6. Step 6: Final answer
    x = 1,327,994.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.