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Finding the Third Proportional to 301,314.25 and 648,753.31

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Solution

The third proportional to 301,314.25 and 648,753.31 is: 1,396,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,314.25 : 648,753.31 = 648,753.31 : x
  2. Step 2: Convert to fraction form
    301,314.25/648,753.31 = 648,753.31/x
  3. Step 3: Cross multiply
    301,314.25x = 648,753.31 × 648,753.31
  4. Step 4: Simplify right side
    301,314.25x = 420,880,862,221.95
  5. Step 5: Solve for x
    x = 420,880,862,221.95/301,314.25
  6. Step 6: Final answer
    x = 1,396,817.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.