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Finding the Third Proportional to 277,916 and 586,456

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Solution

The third proportional to 277,916 and 586,456 is: 1,237,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,916 : 586,456 = 586,456 : x
  2. Step 2: Convert to fraction form
    277,916/586,456 = 586,456/x
  3. Step 3: Cross multiply
    277,916x = 586,456 × 586,456
  4. Step 4: Simplify right side
    277,916x = 343,930,639,936
  5. Step 5: Solve for x
    x = 343,930,639,936/277,916
  6. Step 6: Final answer
    x = 1,237,534.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.