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Finding the Third Proportional to 271,369 and 398,914

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Solution

The third proportional to 271,369 and 398,914 is: 586,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,369 : 398,914 = 398,914 : x
  2. Step 2: Convert to fraction form
    271,369/398,914 = 398,914/x
  3. Step 3: Cross multiply
    271,369x = 398,914 × 398,914
  4. Step 4: Simplify right side
    271,369x = 159,132,379,396
  5. Step 5: Solve for x
    x = 159,132,379,396/271,369
  6. Step 6: Final answer
    x = 586,405.89

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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.