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Finding the Third Proportional to 324,552 and 699,036

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Solution

The third proportional to 324,552 and 699,036 is: 1,505,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,552 : 699,036 = 699,036 : x
  2. Step 2: Convert to fraction form
    324,552/699,036 = 699,036/x
  3. Step 3: Cross multiply
    324,552x = 699,036 × 699,036
  4. Step 4: Simplify right side
    324,552x = 488,651,329,296
  5. Step 5: Solve for x
    x = 488,651,329,296/324,552
  6. Step 6: Final answer
    x = 1,505,617.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.