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Finding the Third Proportional to 537,712.25 and 825,367.25

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Solution

The third proportional to 537,712.25 and 825,367.25 is: 1,266,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,712.25 : 825,367.25 = 825,367.25 : x
  2. Step 2: Convert to fraction form
    537,712.25/825,367.25 = 825,367.25/x
  3. Step 3: Cross multiply
    537,712.25x = 825,367.25 × 825,367.25
  4. Step 4: Simplify right side
    537,712.25x = 681,231,097,372.56
  5. Step 5: Solve for x
    x = 681,231,097,372.56/537,712.25
  6. Step 6: Final answer
    x = 1,266,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.