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Finding the Third Proportional to 277,936.50 and 606,057

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Solution

The third proportional to 277,936.50 and 606,057 is: 1,321,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,936.50 : 606,057 = 606,057 : x
  2. Step 2: Convert to fraction form
    277,936.50/606,057 = 606,057/x
  3. Step 3: Cross multiply
    277,936.50x = 606,057 × 606,057
  4. Step 4: Simplify right side
    277,936.50x = 367,305,087,249
  5. Step 5: Solve for x
    x = 367,305,087,249/277,936.50
  6. Step 6: Final answer
    x = 1,321,543.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.