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Finding the Third Proportional to 271,674 and 584,718.75

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Solution

The third proportional to 271,674 and 584,718.75 is: 1,258,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674 : 584,718.75 = 584,718.75 : x
  2. Step 2: Convert to fraction form
    271,674/584,718.75 = 584,718.75/x
  3. Step 3: Cross multiply
    271,674x = 584,718.75 × 584,718.75
  4. Step 4: Simplify right side
    271,674x = 341,896,016,601.56
  5. Step 5: Solve for x
    x = 341,896,016,601.56/271,674
  6. Step 6: Final answer
    x = 1,258,478.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.