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Finding the Third Proportional to 277,983 and 580,090

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Solution

The third proportional to 277,983 and 580,090 is: 1,210,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,983 : 580,090 = 580,090 : x
  2. Step 2: Convert to fraction form
    277,983/580,090 = 580,090/x
  3. Step 3: Cross multiply
    277,983x = 580,090 × 580,090
  4. Step 4: Simplify right side
    277,983x = 336,504,408,100
  5. Step 5: Solve for x
    x = 336,504,408,100/277,983
  6. Step 6: Final answer
    x = 1,210,521.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.