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Finding the Third Proportional to 535,816 and 727,698

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Solution

The third proportional to 535,816 and 727,698 is: 988,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,816 : 727,698 = 727,698 : x
  2. Step 2: Convert to fraction form
    535,816/727,698 = 727,698/x
  3. Step 3: Cross multiply
    535,816x = 727,698 × 727,698
  4. Step 4: Simplify right side
    535,816x = 529,544,379,204
  5. Step 5: Solve for x
    x = 529,544,379,204/535,816
  6. Step 6: Final answer
    x = 988,295.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.