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Finding the Third Proportional to 307,218 and 476,997

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Solution

The third proportional to 307,218 and 476,997 is: 740,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,218 : 476,997 = 476,997 : x
  2. Step 2: Convert to fraction form
    307,218/476,997 = 476,997/x
  3. Step 3: Cross multiply
    307,218x = 476,997 × 476,997
  4. Step 4: Simplify right side
    307,218x = 227,526,138,009
  5. Step 5: Solve for x
    x = 227,526,138,009/307,218
  6. Step 6: Final answer
    x = 740,601.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.