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Finding the Third Proportional to 334,228 and 504,177

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Solution

The third proportional to 334,228 and 504,177 is: 760,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,228 : 504,177 = 504,177 : x
  2. Step 2: Convert to fraction form
    334,228/504,177 = 504,177/x
  3. Step 3: Cross multiply
    334,228x = 504,177 × 504,177
  4. Step 4: Simplify right side
    334,228x = 254,194,447,329
  5. Step 5: Solve for x
    x = 254,194,447,329/334,228
  6. Step 6: Final answer
    x = 760,542.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.