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Finding the Third Proportional to 250,578 and 525,759

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Solution

The third proportional to 250,578 and 525,759 is: 1,103,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,578 : 525,759 = 525,759 : x
  2. Step 2: Convert to fraction form
    250,578/525,759 = 525,759/x
  3. Step 3: Cross multiply
    250,578x = 525,759 × 525,759
  4. Step 4: Simplify right side
    250,578x = 276,422,526,081
  5. Step 5: Solve for x
    x = 276,422,526,081/250,578
  6. Step 6: Final answer
    x = 1,103,139.65

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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.