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Finding the Third Proportional to 313,061 and 685,162

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Solution

The third proportional to 313,061 and 685,162 is: 1,499,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,061 : 685,162 = 685,162 : x
  2. Step 2: Convert to fraction form
    313,061/685,162 = 685,162/x
  3. Step 3: Cross multiply
    313,061x = 685,162 × 685,162
  4. Step 4: Simplify right side
    313,061x = 469,446,966,244
  5. Step 5: Solve for x
    x = 469,446,966,244/313,061
  6. Step 6: Final answer
    x = 1,499,538.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.