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Finding the Third Proportional to 339,776 and 475,232

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Solution

The third proportional to 339,776 and 475,232 is: 664,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,776 : 475,232 = 475,232 : x
  2. Step 2: Convert to fraction form
    339,776/475,232 = 475,232/x
  3. Step 3: Cross multiply
    339,776x = 475,232 × 475,232
  4. Step 4: Simplify right side
    339,776x = 225,845,453,824
  5. Step 5: Solve for x
    x = 225,845,453,824/339,776
  6. Step 6: Final answer
    x = 664,689.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.