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Finding the Third Proportional to 225,223 and 485,356

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Solution

The third proportional to 225,223 and 485,356 is: 1,045,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,223 : 485,356 = 485,356 : x
  2. Step 2: Convert to fraction form
    225,223/485,356 = 485,356/x
  3. Step 3: Cross multiply
    225,223x = 485,356 × 485,356
  4. Step 4: Simplify right side
    225,223x = 235,570,446,736
  5. Step 5: Solve for x
    x = 235,570,446,736/225,223
  6. Step 6: Final answer
    x = 1,045,943.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.