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Finding the Third Proportional to 241,344 and 520,090

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Solution

The third proportional to 241,344 and 520,090 is: 1,120,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,344 : 520,090 = 520,090 : x
  2. Step 2: Convert to fraction form
    241,344/520,090 = 520,090/x
  3. Step 3: Cross multiply
    241,344x = 520,090 × 520,090
  4. Step 4: Simplify right side
    241,344x = 270,493,608,100
  5. Step 5: Solve for x
    x = 270,493,608,100/241,344
  6. Step 6: Final answer
    x = 1,120,780.33

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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.