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Finding the Third Proportional to 538,163 and 844,316

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Solution

The third proportional to 538,163 and 844,316 is: 1,324,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,163 : 844,316 = 844,316 : x
  2. Step 2: Convert to fraction form
    538,163/844,316 = 844,316/x
  3. Step 3: Cross multiply
    538,163x = 844,316 × 844,316
  4. Step 4: Simplify right side
    538,163x = 712,869,507,856
  5. Step 5: Solve for x
    x = 712,869,507,856/538,163
  6. Step 6: Final answer
    x = 1,324,634.93

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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.