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Finding the Third Proportional to 271,867 and 390,061

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Solution

The third proportional to 271,867 and 390,061 is: 559,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,867 : 390,061 = 390,061 : x
  2. Step 2: Convert to fraction form
    271,867/390,061 = 390,061/x
  3. Step 3: Cross multiply
    271,867x = 390,061 × 390,061
  4. Step 4: Simplify right side
    271,867x = 152,147,583,721
  5. Step 5: Solve for x
    x = 152,147,583,721/271,867
  6. Step 6: Final answer
    x = 559,639.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.