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Finding the Third Proportional to 521,122.50 and 825,849

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Solution

The third proportional to 521,122.50 and 825,849 is: 1,308,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,122.50 : 825,849 = 825,849 : x
  2. Step 2: Convert to fraction form
    521,122.50/825,849 = 825,849/x
  3. Step 3: Cross multiply
    521,122.50x = 825,849 × 825,849
  4. Step 4: Simplify right side
    521,122.50x = 682,026,570,801
  5. Step 5: Solve for x
    x = 682,026,570,801/521,122.50
  6. Step 6: Final answer
    x = 1,308,764.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.