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Finding the Third Proportional to 310,059 and 633,267

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Solution

The third proportional to 310,059 and 633,267 is: 1,293,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,059 : 633,267 = 633,267 : x
  2. Step 2: Convert to fraction form
    310,059/633,267 = 633,267/x
  3. Step 3: Cross multiply
    310,059x = 633,267 × 633,267
  4. Step 4: Simplify right side
    310,059x = 401,027,093,289
  5. Step 5: Solve for x
    x = 401,027,093,289/310,059
  6. Step 6: Final answer
    x = 1,293,389.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.