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Finding the Third Proportional to 241,571 and 514,327

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Solution

The third proportional to 241,571 and 514,327 is: 1,095,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,571 : 514,327 = 514,327 : x
  2. Step 2: Convert to fraction form
    241,571/514,327 = 514,327/x
  3. Step 3: Cross multiply
    241,571x = 514,327 × 514,327
  4. Step 4: Simplify right side
    241,571x = 264,532,262,929
  5. Step 5: Solve for x
    x = 264,532,262,929/241,571
  6. Step 6: Final answer
    x = 1,095,049.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.