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Finding the Third Proportional to 251,933 and 553,014

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Solution

The third proportional to 251,933 and 553,014 is: 1,213,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,933 : 553,014 = 553,014 : x
  2. Step 2: Convert to fraction form
    251,933/553,014 = 553,014/x
  3. Step 3: Cross multiply
    251,933x = 553,014 × 553,014
  4. Step 4: Simplify right side
    251,933x = 305,824,484,196
  5. Step 5: Solve for x
    x = 305,824,484,196/251,933
  6. Step 6: Final answer
    x = 1,213,911.97

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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.