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Finding the Third Proportional to 646,251.75 and 905,604.75

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Solution

The third proportional to 646,251.75 and 905,604.75 is: 1,269,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,251.75 : 905,604.75 = 905,604.75 : x
  2. Step 2: Convert to fraction form
    646,251.75/905,604.75 = 905,604.75/x
  3. Step 3: Cross multiply
    646,251.75x = 905,604.75 × 905,604.75
  4. Step 4: Simplify right side
    646,251.75x = 820,119,963,222.56
  5. Step 5: Solve for x
    x = 820,119,963,222.56/646,251.75
  6. Step 6: Final answer
    x = 1,269,040.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.