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Finding the Third Proportional to 277,292 and 600,916

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Solution

The third proportional to 277,292 and 600,916 is: 1,302,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,292 : 600,916 = 600,916 : x
  2. Step 2: Convert to fraction form
    277,292/600,916 = 600,916/x
  3. Step 3: Cross multiply
    277,292x = 600,916 × 600,916
  4. Step 4: Simplify right side
    277,292x = 361,100,039,056
  5. Step 5: Solve for x
    x = 361,100,039,056/277,292
  6. Step 6: Final answer
    x = 1,302,237.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.