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Finding the Third Proportional to 309,137.75 and 671,150

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Solution

The third proportional to 309,137.75 and 671,150 is: 1,457,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,137.75 : 671,150 = 671,150 : x
  2. Step 2: Convert to fraction form
    309,137.75/671,150 = 671,150/x
  3. Step 3: Cross multiply
    309,137.75x = 671,150 × 671,150
  4. Step 4: Simplify right side
    309,137.75x = 450,442,322,500
  5. Step 5: Solve for x
    x = 450,442,322,500/309,137.75
  6. Step 6: Final answer
    x = 1,457,092.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.