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Finding the Third Proportional to 270,041 and 590,914

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Solution

The third proportional to 270,041 and 590,914 is: 1,293,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,041 : 590,914 = 590,914 : x
  2. Step 2: Convert to fraction form
    270,041/590,914 = 590,914/x
  3. Step 3: Cross multiply
    270,041x = 590,914 × 590,914
  4. Step 4: Simplify right side
    270,041x = 349,179,355,396
  5. Step 5: Solve for x
    x = 349,179,355,396/270,041
  6. Step 6: Final answer
    x = 1,293,060.52

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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.