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Finding the Third Proportional to 263,729 and 581,242

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Solution

The third proportional to 263,729 and 581,242 is: 1,281,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,729 : 581,242 = 581,242 : x
  2. Step 2: Convert to fraction form
    263,729/581,242 = 581,242/x
  3. Step 3: Cross multiply
    263,729x = 581,242 × 581,242
  4. Step 4: Simplify right side
    263,729x = 337,842,262,564
  5. Step 5: Solve for x
    x = 337,842,262,564/263,729
  6. Step 6: Final answer
    x = 1,281,020.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.