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Finding the Third Proportional to 271,578 and 596,646

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Solution

The third proportional to 271,578 and 596,646 is: 1,310,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,578 : 596,646 = 596,646 : x
  2. Step 2: Convert to fraction form
    271,578/596,646 = 596,646/x
  3. Step 3: Cross multiply
    271,578x = 596,646 × 596,646
  4. Step 4: Simplify right side
    271,578x = 355,986,449,316
  5. Step 5: Solve for x
    x = 355,986,449,316/271,578
  6. Step 6: Final answer
    x = 1,310,807.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.