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Finding the Third Proportional to 263,019 and 575,241

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Solution

The third proportional to 263,019 and 575,241 is: 1,258,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,019 : 575,241 = 575,241 : x
  2. Step 2: Convert to fraction form
    263,019/575,241 = 575,241/x
  3. Step 3: Cross multiply
    263,019x = 575,241 × 575,241
  4. Step 4: Simplify right side
    263,019x = 330,902,208,081
  5. Step 5: Solve for x
    x = 330,902,208,081/263,019
  6. Step 6: Final answer
    x = 1,258,092.41

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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.