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Finding the Third Proportional to 277,236.50 and 417,085

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Solution

The third proportional to 277,236.50 and 417,085 is: 627,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,236.50 : 417,085 = 417,085 : x
  2. Step 2: Convert to fraction form
    277,236.50/417,085 = 417,085/x
  3. Step 3: Cross multiply
    277,236.50x = 417,085 × 417,085
  4. Step 4: Simplify right side
    277,236.50x = 173,959,897,225
  5. Step 5: Solve for x
    x = 173,959,897,225/277,236.50
  6. Step 6: Final answer
    x = 627,478.33

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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.