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Finding the Third Proportional to 271,294.31 and 398,823.75

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Solution

The third proportional to 271,294.31 and 398,823.75 is: 586,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,294.31 : 398,823.75 = 398,823.75 : x
  2. Step 2: Convert to fraction form
    271,294.31/398,823.75 = 398,823.75/x
  3. Step 3: Cross multiply
    271,294.31x = 398,823.75 × 398,823.75
  4. Step 4: Simplify right side
    271,294.31x = 159,060,383,564.06
  5. Step 5: Solve for x
    x = 159,060,383,564.06/271,294.31
  6. Step 6: Final answer
    x = 586,301.95

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Why These Related Problems?

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