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Finding the Third Proportional to 207,640.13 and 451,298.25

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Solution

The third proportional to 207,640.13 and 451,298.25 is: 980,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,640.13 : 451,298.25 = 451,298.25 : x
  2. Step 2: Convert to fraction form
    207,640.13/451,298.25 = 451,298.25/x
  3. Step 3: Cross multiply
    207,640.13x = 451,298.25 × 451,298.25
  4. Step 4: Simplify right side
    207,640.13x = 203,670,110,453.06
  5. Step 5: Solve for x
    x = 203,670,110,453.06/207,640.13
  6. Step 6: Final answer
    x = 980,880.31

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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.