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Finding the Third Proportional to 261,927 and 562,086

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Solution

The third proportional to 261,927 and 562,086 is: 1,206,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,927 : 562,086 = 562,086 : x
  2. Step 2: Convert to fraction form
    261,927/562,086 = 562,086/x
  3. Step 3: Cross multiply
    261,927x = 562,086 × 562,086
  4. Step 4: Simplify right side
    261,927x = 315,940,671,396
  5. Step 5: Solve for x
    x = 315,940,671,396/261,927
  6. Step 6: Final answer
    x = 1,206,216.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.