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Finding the Third Proportional to 263,733 and 581,250

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Solution

The third proportional to 263,733 and 581,250 is: 1,281,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,733 : 581,250 = 581,250 : x
  2. Step 2: Convert to fraction form
    263,733/581,250 = 581,250/x
  3. Step 3: Cross multiply
    263,733x = 581,250 × 581,250
  4. Step 4: Simplify right side
    263,733x = 337,851,562,500
  5. Step 5: Solve for x
    x = 337,851,562,500/263,733
  6. Step 6: Final answer
    x = 1,281,036.36

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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.