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Finding the Third Proportional to 271,878 and 399,882

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Solution

The third proportional to 271,878 and 399,882 is: 588,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,878 : 399,882 = 399,882 : x
  2. Step 2: Convert to fraction form
    271,878/399,882 = 399,882/x
  3. Step 3: Cross multiply
    271,878x = 399,882 × 399,882
  4. Step 4: Simplify right side
    271,878x = 159,905,613,924
  5. Step 5: Solve for x
    x = 159,905,613,924/271,878
  6. Step 6: Final answer
    x = 588,152.09

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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.