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Finding the Third Proportional to 229,876 and 505,832

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Solution

The third proportional to 229,876 and 505,832 is: 1,113,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876 : 505,832 = 505,832 : x
  2. Step 2: Convert to fraction form
    229,876/505,832 = 505,832/x
  3. Step 3: Cross multiply
    229,876x = 505,832 × 505,832
  4. Step 4: Simplify right side
    229,876x = 255,866,012,224
  5. Step 5: Solve for x
    x = 255,866,012,224/229,876
  6. Step 6: Final answer
    x = 1,113,061.01

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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.