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Finding the Third Proportional to 251,933.25 and 553,013.25

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Solution

The third proportional to 251,933.25 and 553,013.25 is: 1,213,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,933.25 : 553,013.25 = 553,013.25 : x
  2. Step 2: Convert to fraction form
    251,933.25/553,013.25 = 553,013.25/x
  3. Step 3: Cross multiply
    251,933.25x = 553,013.25 × 553,013.25
  4. Step 4: Simplify right side
    251,933.25x = 305,823,654,675.56
  5. Step 5: Solve for x
    x = 305,823,654,675.56/251,933.25
  6. Step 6: Final answer
    x = 1,213,907.47

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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.