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Finding the Third Proportional to 263,744 and 581,272

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Solution

The third proportional to 263,744 and 581,272 is: 1,281,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,744 : 581,272 = 581,272 : x
  2. Step 2: Convert to fraction form
    263,744/581,272 = 581,272/x
  3. Step 3: Cross multiply
    263,744x = 581,272 × 581,272
  4. Step 4: Simplify right side
    263,744x = 337,877,137,984
  5. Step 5: Solve for x
    x = 337,877,137,984/263,744
  6. Step 6: Final answer
    x = 1,281,079.90

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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.