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Finding the Third Proportional to 271,594 and 399,068

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Solution

The third proportional to 271,594 and 399,068 is: 586,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,594 : 399,068 = 399,068 : x
  2. Step 2: Convert to fraction form
    271,594/399,068 = 399,068/x
  3. Step 3: Cross multiply
    271,594x = 399,068 × 399,068
  4. Step 4: Simplify right side
    271,594x = 159,255,268,624
  5. Step 5: Solve for x
    x = 159,255,268,624/271,594
  6. Step 6: Final answer
    x = 586,372.56

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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.