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Finding the Third Proportional to 271,347.75 and 398,891.25

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Solution

The third proportional to 271,347.75 and 398,891.25 is: 586,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,347.75 : 398,891.25 = 398,891.25 : x
  2. Step 2: Convert to fraction form
    271,347.75/398,891.25 = 398,891.25/x
  3. Step 3: Cross multiply
    271,347.75x = 398,891.25 × 398,891.25
  4. Step 4: Simplify right side
    271,347.75x = 159,114,229,326.56
  5. Step 5: Solve for x
    x = 159,114,229,326.56/271,347.75
  6. Step 6: Final answer
    x = 586,384.92

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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.