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Finding the Third Proportional to 263,223 and 410,204.25

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Solution

The third proportional to 263,223 and 410,204.25 is: 639,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,223 : 410,204.25 = 410,204.25 : x
  2. Step 2: Convert to fraction form
    263,223/410,204.25 = 410,204.25/x
  3. Step 3: Cross multiply
    263,223x = 410,204.25 × 410,204.25
  4. Step 4: Simplify right side
    263,223x = 168,267,526,718.06
  5. Step 5: Solve for x
    x = 168,267,526,718.06/263,223
  6. Step 6: Final answer
    x = 639,258.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.