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Finding the Third Proportional to 413,292 and 876,183

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Solution

The third proportional to 413,292 and 876,183 is: 1,857,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,292 : 876,183 = 876,183 : x
  2. Step 2: Convert to fraction form
    413,292/876,183 = 876,183/x
  3. Step 3: Cross multiply
    413,292x = 876,183 × 876,183
  4. Step 4: Simplify right side
    413,292x = 767,696,649,489
  5. Step 5: Solve for x
    x = 767,696,649,489/413,292
  6. Step 6: Final answer
    x = 1,857,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.