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Finding the Third Proportional to 250,588 and 521,912

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Solution

The third proportional to 250,588 and 521,912 is: 1,087,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,588 : 521,912 = 521,912 : x
  2. Step 2: Convert to fraction form
    250,588/521,912 = 521,912/x
  3. Step 3: Cross multiply
    250,588x = 521,912 × 521,912
  4. Step 4: Simplify right side
    250,588x = 272,392,135,744
  5. Step 5: Solve for x
    x = 272,392,135,744/250,588
  6. Step 6: Final answer
    x = 1,087,011.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.