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Finding the Third Proportional to 414,298.50 and 639,763.50

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Solution

The third proportional to 414,298.50 and 639,763.50 is: 987,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,298.50 : 639,763.50 = 639,763.50 : x
  2. Step 2: Convert to fraction form
    414,298.50/639,763.50 = 639,763.50/x
  3. Step 3: Cross multiply
    414,298.50x = 639,763.50 × 639,763.50
  4. Step 4: Simplify right side
    414,298.50x = 409,297,335,932.25
  5. Step 5: Solve for x
    x = 409,297,335,932.25/414,298.50
  6. Step 6: Final answer
    x = 987,928.60

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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.