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Finding the Third Proportional to 354,766 and 535,836

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Solution

The third proportional to 354,766 and 535,836 is: 809,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,766 : 535,836 = 535,836 : x
  2. Step 2: Convert to fraction form
    354,766/535,836 = 535,836/x
  3. Step 3: Cross multiply
    354,766x = 535,836 × 535,836
  4. Step 4: Simplify right side
    354,766x = 287,120,218,896
  5. Step 5: Solve for x
    x = 287,120,218,896/354,766
  6. Step 6: Final answer
    x = 809,322.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.