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Finding the Third Proportional to 366,980 and 759,131

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Solution

The third proportional to 366,980 and 759,131 is: 1,570,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980 : 759,131 = 759,131 : x
  2. Step 2: Convert to fraction form
    366,980/759,131 = 759,131/x
  3. Step 3: Cross multiply
    366,980x = 759,131 × 759,131
  4. Step 4: Simplify right side
    366,980x = 576,279,875,161
  5. Step 5: Solve for x
    x = 576,279,875,161/366,980
  6. Step 6: Final answer
    x = 1,570,330.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.