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Finding the Third Proportional to 378,976 and 829,232

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Solution

The third proportional to 378,976 and 829,232 is: 1,814,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,976 : 829,232 = 829,232 : x
  2. Step 2: Convert to fraction form
    378,976/829,232 = 829,232/x
  3. Step 3: Cross multiply
    378,976x = 829,232 × 829,232
  4. Step 4: Simplify right side
    378,976x = 687,625,709,824
  5. Step 5: Solve for x
    x = 687,625,709,824/378,976
  6. Step 6: Final answer
    x = 1,814,430.76

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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.