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Finding the Third Proportional to 271,590 and 399,061

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Solution

The third proportional to 271,590 and 399,061 is: 586,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,590 : 399,061 = 399,061 : x
  2. Step 2: Convert to fraction form
    271,590/399,061 = 399,061/x
  3. Step 3: Cross multiply
    271,590x = 399,061 × 399,061
  4. Step 4: Simplify right side
    271,590x = 159,249,681,721
  5. Step 5: Solve for x
    x = 159,249,681,721/271,590
  6. Step 6: Final answer
    x = 586,360.62

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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.