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Finding the Third Proportional to 277,114 and 416,901

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Solution

The third proportional to 277,114 and 416,901 is: 627,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,114 : 416,901 = 416,901 : x
  2. Step 2: Convert to fraction form
    277,114/416,901 = 416,901/x
  3. Step 3: Cross multiply
    277,114x = 416,901 × 416,901
  4. Step 4: Simplify right side
    277,114x = 173,806,443,801
  5. Step 5: Solve for x
    x = 173,806,443,801/277,114
  6. Step 6: Final answer
    x = 627,201.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.