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Finding the Third Proportional to 205,524 and 450,324

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Solution

The third proportional to 205,524 and 450,324 is: 986,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,524 : 450,324 = 450,324 : x
  2. Step 2: Convert to fraction form
    205,524/450,324 = 450,324/x
  3. Step 3: Cross multiply
    205,524x = 450,324 × 450,324
  4. Step 4: Simplify right side
    205,524x = 202,791,704,976
  5. Step 5: Solve for x
    x = 202,791,704,976/205,524
  6. Step 6: Final answer
    x = 986,705.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.