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Finding the Third Proportional to 313,822 and 685,962

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Solution

The third proportional to 313,822 and 685,962 is: 1,499,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822 : 685,962 = 685,962 : x
  2. Step 2: Convert to fraction form
    313,822/685,962 = 685,962/x
  3. Step 3: Cross multiply
    313,822x = 685,962 × 685,962
  4. Step 4: Simplify right side
    313,822x = 470,543,865,444
  5. Step 5: Solve for x
    x = 470,543,865,444/313,822
  6. Step 6: Final answer
    x = 1,499,397.32

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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.