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Finding the Third Proportional to 250,576 and 525,755

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Solution

The third proportional to 250,576 and 525,755 is: 1,103,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,576 : 525,755 = 525,755 : x
  2. Step 2: Convert to fraction form
    250,576/525,755 = 525,755/x
  3. Step 3: Cross multiply
    250,576x = 525,755 × 525,755
  4. Step 4: Simplify right side
    250,576x = 276,418,320,025
  5. Step 5: Solve for x
    x = 276,418,320,025/250,576
  6. Step 6: Final answer
    x = 1,103,131.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.