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Finding the Third Proportional to 437,739.75 and 952,143.75

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Solution

The third proportional to 437,739.75 and 952,143.75 is: 2,071,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,739.75 : 952,143.75 = 952,143.75 : x
  2. Step 2: Convert to fraction form
    437,739.75/952,143.75 = 952,143.75/x
  3. Step 3: Cross multiply
    437,739.75x = 952,143.75 × 952,143.75
  4. Step 4: Simplify right side
    437,739.75x = 906,577,720,664.06
  5. Step 5: Solve for x
    x = 906,577,720,664.06/437,739.75
  6. Step 6: Final answer
    x = 2,071,042.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.