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Finding the Third Proportional to 305,334 and 663,192

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Solution

The third proportional to 305,334 and 663,192 is: 1,440,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,334 : 663,192 = 663,192 : x
  2. Step 2: Convert to fraction form
    305,334/663,192 = 663,192/x
  3. Step 3: Cross multiply
    305,334x = 663,192 × 663,192
  4. Step 4: Simplify right side
    305,334x = 439,823,628,864
  5. Step 5: Solve for x
    x = 439,823,628,864/305,334
  6. Step 6: Final answer
    x = 1,440,467.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.