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Finding the Third Proportional to 251,932 and 553,012

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Solution

The third proportional to 251,932 and 553,012 is: 1,213,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,932 : 553,012 = 553,012 : x
  2. Step 2: Convert to fraction form
    251,932/553,012 = 553,012/x
  3. Step 3: Cross multiply
    251,932x = 553,012 × 553,012
  4. Step 4: Simplify right side
    251,932x = 305,822,272,144
  5. Step 5: Solve for x
    x = 305,822,272,144/251,932
  6. Step 6: Final answer
    x = 1,213,908.01

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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.