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Finding the Third Proportional to 251,341 and 520,177

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Solution

The third proportional to 251,341 and 520,177 is: 1,076,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,341 : 520,177 = 520,177 : x
  2. Step 2: Convert to fraction form
    251,341/520,177 = 520,177/x
  3. Step 3: Cross multiply
    251,341x = 520,177 × 520,177
  4. Step 4: Simplify right side
    251,341x = 270,584,111,329
  5. Step 5: Solve for x
    x = 270,584,111,329/251,341
  6. Step 6: Final answer
    x = 1,076,561.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.