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Finding the Third Proportional to 414,299.25 and 639,764.63

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Solution

The third proportional to 414,299.25 and 639,764.63 is: 987,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,299.25 : 639,764.63 = 639,764.63 : x
  2. Step 2: Convert to fraction form
    414,299.25/639,764.63 = 639,764.63/x
  3. Step 3: Cross multiply
    414,299.25x = 639,764.63 × 639,764.63
  4. Step 4: Simplify right side
    414,299.25x = 409,298,775,401.39
  5. Step 5: Solve for x
    x = 409,298,775,401.39/414,299.25
  6. Step 6: Final answer
    x = 987,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.