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Finding the Third Proportional to 277,120 and 416,910

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Solution

The third proportional to 277,120 and 416,910 is: 627,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,120 : 416,910 = 416,910 : x
  2. Step 2: Convert to fraction form
    277,120/416,910 = 416,910/x
  3. Step 3: Cross multiply
    277,120x = 416,910 × 416,910
  4. Step 4: Simplify right side
    277,120x = 173,813,948,100
  5. Step 5: Solve for x
    x = 173,813,948,100/277,120
  6. Step 6: Final answer
    x = 627,215.46

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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.