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Finding the Third Proportional to 438,485.91 and 960,761.25

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Solution

The third proportional to 438,485.91 and 960,761.25 is: 2,105,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,485.91 : 960,761.25 = 960,761.25 : x
  2. Step 2: Convert to fraction form
    438,485.91/960,761.25 = 960,761.25/x
  3. Step 3: Cross multiply
    438,485.91x = 960,761.25 × 960,761.25
  4. Step 4: Simplify right side
    438,485.91x = 923,062,179,501.56
  5. Step 5: Solve for x
    x = 923,062,179,501.56/438,485.91
  6. Step 6: Final answer
    x = 2,105,112.54

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Why These Related Problems?

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