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Finding the Third Proportional to 277,980.75 and 580,086

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Solution

The third proportional to 277,980.75 and 580,086 is: 1,210,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,980.75 : 580,086 = 580,086 : x
  2. Step 2: Convert to fraction form
    277,980.75/580,086 = 580,086/x
  3. Step 3: Cross multiply
    277,980.75x = 580,086 × 580,086
  4. Step 4: Simplify right side
    277,980.75x = 336,499,767,396
  5. Step 5: Solve for x
    x = 336,499,767,396/277,980.75
  6. Step 6: Final answer
    x = 1,210,514.64

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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.