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Finding the Third Proportional to 265,976 and 399,232

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Solution

The third proportional to 265,976 and 399,232 is: 599,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,976 : 399,232 = 399,232 : x
  2. Step 2: Convert to fraction form
    265,976/399,232 = 399,232/x
  3. Step 3: Cross multiply
    265,976x = 399,232 × 399,232
  4. Step 4: Simplify right side
    265,976x = 159,386,189,824
  5. Step 5: Solve for x
    x = 159,386,189,824/265,976
  6. Step 6: Final answer
    x = 599,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.