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Finding the Third Proportional to 290,299 and 439,824

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Solution

The third proportional to 290,299 and 439,824 is: 666,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,299 : 439,824 = 439,824 : x
  2. Step 2: Convert to fraction form
    290,299/439,824 = 439,824/x
  3. Step 3: Cross multiply
    290,299x = 439,824 × 439,824
  4. Step 4: Simplify right side
    290,299x = 193,445,150,976
  5. Step 5: Solve for x
    x = 193,445,150,976/290,299
  6. Step 6: Final answer
    x = 666,365.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.