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Finding the Third Proportional to 305,697.75 and 670,383.75

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Solution

The third proportional to 305,697.75 and 670,383.75 is: 1,470,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,697.75 : 670,383.75 = 670,383.75 : x
  2. Step 2: Convert to fraction form
    305,697.75/670,383.75 = 670,383.75/x
  3. Step 3: Cross multiply
    305,697.75x = 670,383.75 × 670,383.75
  4. Step 4: Simplify right side
    305,697.75x = 449,414,372,264.06
  5. Step 5: Solve for x
    x = 449,414,372,264.06/305,697.75
  6. Step 6: Final answer
    x = 1,470,126.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.