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Finding the Third Proportional to 251,934.75 and 553,016.25

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Solution

The third proportional to 251,934.75 and 553,016.25 is: 1,213,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,934.75 : 553,016.25 = 553,016.25 : x
  2. Step 2: Convert to fraction form
    251,934.75/553,016.25 = 553,016.25/x
  3. Step 3: Cross multiply
    251,934.75x = 553,016.25 × 553,016.25
  4. Step 4: Simplify right side
    251,934.75x = 305,826,972,764.06
  5. Step 5: Solve for x
    x = 305,826,972,764.06/251,934.75
  6. Step 6: Final answer
    x = 1,213,913.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.