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Finding the Third Proportional to 276,218 and 405,578

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Solution

The third proportional to 276,218 and 405,578 is: 595,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,218 : 405,578 = 405,578 : x
  2. Step 2: Convert to fraction form
    276,218/405,578 = 405,578/x
  3. Step 3: Cross multiply
    276,218x = 405,578 × 405,578
  4. Step 4: Simplify right side
    276,218x = 164,493,514,084
  5. Step 5: Solve for x
    x = 164,493,514,084/276,218
  6. Step 6: Final answer
    x = 595,520.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.