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Finding the Third Proportional to 306,749.25 and 656,145.75

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Solution

The third proportional to 306,749.25 and 656,145.75 is: 1,403,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,749.25 : 656,145.75 = 656,145.75 : x
  2. Step 2: Convert to fraction form
    306,749.25/656,145.75 = 656,145.75/x
  3. Step 3: Cross multiply
    306,749.25x = 656,145.75 × 656,145.75
  4. Step 4: Simplify right side
    306,749.25x = 430,527,245,243.06
  5. Step 5: Solve for x
    x = 430,527,245,243.06/306,749.25
  6. Step 6: Final answer
    x = 1,403,515.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.