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Finding the Third Proportional to 538,432 and 844,757

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Solution

The third proportional to 538,432 and 844,757 is: 1,325,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,432 : 844,757 = 844,757 : x
  2. Step 2: Convert to fraction form
    538,432/844,757 = 844,757/x
  3. Step 3: Cross multiply
    538,432x = 844,757 × 844,757
  4. Step 4: Simplify right side
    538,432x = 713,614,389,049
  5. Step 5: Solve for x
    x = 713,614,389,049/538,432
  6. Step 6: Final answer
    x = 1,325,356.57

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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.