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Finding the Third Proportional to 271,580 and 596,656

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Solution

The third proportional to 271,580 and 596,656 is: 1,310,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,580 : 596,656 = 596,656 : x
  2. Step 2: Convert to fraction form
    271,580/596,656 = 596,656/x
  3. Step 3: Cross multiply
    271,580x = 596,656 × 596,656
  4. Step 4: Simplify right side
    271,580x = 355,998,382,336
  5. Step 5: Solve for x
    x = 355,998,382,336/271,580
  6. Step 6: Final answer
    x = 1,310,841.68

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Why These Related Problems?

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