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Finding the Third Proportional to 444,507.75 and 956,463.19

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Solution

The third proportional to 444,507.75 and 956,463.19 is: 2,058,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,507.75 : 956,463.19 = 956,463.19 : x
  2. Step 2: Convert to fraction form
    444,507.75/956,463.19 = 956,463.19/x
  3. Step 3: Cross multiply
    444,507.75x = 956,463.19 × 956,463.19
  4. Step 4: Simplify right side
    444,507.75x = 914,821,829,042.66
  5. Step 5: Solve for x
    x = 914,821,829,042.66/444,507.75
  6. Step 6: Final answer
    x = 2,058,055.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.