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Finding the Third Proportional to 277,117 and 416,906

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Solution

The third proportional to 277,117 and 416,906 is: 627,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,117 : 416,906 = 416,906 : x
  2. Step 2: Convert to fraction form
    277,117/416,906 = 416,906/x
  3. Step 3: Cross multiply
    277,117x = 416,906 × 416,906
  4. Step 4: Simplify right side
    277,117x = 173,810,612,836
  5. Step 5: Solve for x
    x = 173,810,612,836/277,117
  6. Step 6: Final answer
    x = 627,210.21

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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.