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Finding the Third Proportional to 331,504 and 725,704

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Solution

The third proportional to 331,504 and 725,704 is: 1,588,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504 : 725,704 = 725,704 : x
  2. Step 2: Convert to fraction form
    331,504/725,704 = 725,704/x
  3. Step 3: Cross multiply
    331,504x = 725,704 × 725,704
  4. Step 4: Simplify right side
    331,504x = 526,646,295,616
  5. Step 5: Solve for x
    x = 526,646,295,616/331,504
  6. Step 6: Final answer
    x = 1,588,657.44

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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.