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Finding the Third Proportional to 313,924 and 683,896

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Solution

The third proportional to 313,924 and 683,896 is: 1,489,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924 : 683,896 = 683,896 : x
  2. Step 2: Convert to fraction form
    313,924/683,896 = 683,896/x
  3. Step 3: Cross multiply
    313,924x = 683,896 × 683,896
  4. Step 4: Simplify right side
    313,924x = 467,713,738,816
  5. Step 5: Solve for x
    x = 467,713,738,816/313,924
  6. Step 6: Final answer
    x = 1,489,894.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.