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Finding the Third Proportional to 250,524 and 525,666

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Solution

The third proportional to 250,524 and 525,666 is: 1,102,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,524 : 525,666 = 525,666 : x
  2. Step 2: Convert to fraction form
    250,524/525,666 = 525,666/x
  3. Step 3: Cross multiply
    250,524x = 525,666 × 525,666
  4. Step 4: Simplify right side
    250,524x = 276,324,743,556
  5. Step 5: Solve for x
    x = 276,324,743,556/250,524
  6. Step 6: Final answer
    x = 1,102,987.11

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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.