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Finding the Third Proportional to 397,836 and 629,964

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Solution

The third proportional to 397,836 and 629,964 is: 997,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,836 : 629,964 = 629,964 : x
  2. Step 2: Convert to fraction form
    397,836/629,964 = 629,964/x
  3. Step 3: Cross multiply
    397,836x = 629,964 × 629,964
  4. Step 4: Simplify right side
    397,836x = 396,854,641,296
  5. Step 5: Solve for x
    x = 396,854,641,296/397,836
  6. Step 6: Final answer
    x = 997,533.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.