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Finding the Third Proportional to 646,908.75 and 940,236.75

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Solution

The third proportional to 646,908.75 and 940,236.75 is: 1,366,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,908.75 : 940,236.75 = 940,236.75 : x
  2. Step 2: Convert to fraction form
    646,908.75/940,236.75 = 940,236.75/x
  3. Step 3: Cross multiply
    646,908.75x = 940,236.75 × 940,236.75
  4. Step 4: Simplify right side
    646,908.75x = 884,045,146,050.56
  5. Step 5: Solve for x
    x = 884,045,146,050.56/646,908.75
  6. Step 6: Final answer
    x = 1,366,568.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.