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Finding the Third Proportional to 270,055.13 and 587,738.25

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Solution

The third proportional to 270,055.13 and 587,738.25 is: 1,279,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,055.13 : 587,738.25 = 587,738.25 : x
  2. Step 2: Convert to fraction form
    270,055.13/587,738.25 = 587,738.25/x
  3. Step 3: Cross multiply
    270,055.13x = 587,738.25 × 587,738.25
  4. Step 4: Simplify right side
    270,055.13x = 345,436,250,513.06
  5. Step 5: Solve for x
    x = 345,436,250,513.06/270,055.13
  6. Step 6: Final answer
    x = 1,279,132.36

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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.