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Finding the Third Proportional to 538,158 and 844,308

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Solution

The third proportional to 538,158 and 844,308 is: 1,324,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,158 : 844,308 = 844,308 : x
  2. Step 2: Convert to fraction form
    538,158/844,308 = 844,308/x
  3. Step 3: Cross multiply
    538,158x = 844,308 × 844,308
  4. Step 4: Simplify right side
    538,158x = 712,855,998,864
  5. Step 5: Solve for x
    x = 712,855,998,864/538,158
  6. Step 6: Final answer
    x = 1,324,622.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.