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Finding the Third Proportional to 279,466.88 and 606,197.25

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Solution

The third proportional to 279,466.88 and 606,197.25 is: 1,314,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,466.88 : 606,197.25 = 606,197.25 : x
  2. Step 2: Convert to fraction form
    279,466.88/606,197.25 = 606,197.25/x
  3. Step 3: Cross multiply
    279,466.88x = 606,197.25 × 606,197.25
  4. Step 4: Simplify right side
    279,466.88x = 367,475,105,907.56
  5. Step 5: Solve for x
    x = 367,475,105,907.56/279,466.88
  6. Step 6: Final answer
    x = 1,314,914.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.