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Finding the Third Proportional to 476,736 and 656,704

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Solution

The third proportional to 476,736 and 656,704 is: 904,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,736 : 656,704 = 656,704 : x
  2. Step 2: Convert to fraction form
    476,736/656,704 = 656,704/x
  3. Step 3: Cross multiply
    476,736x = 656,704 × 656,704
  4. Step 4: Simplify right side
    476,736x = 431,260,143,616
  5. Step 5: Solve for x
    x = 431,260,143,616/476,736
  6. Step 6: Final answer
    x = 904,609.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.