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Finding the Third Proportional to 306,976.50 and 628,708.50

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Solution

The third proportional to 306,976.50 and 628,708.50 is: 1,287,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,976.50 : 628,708.50 = 628,708.50 : x
  2. Step 2: Convert to fraction form
    306,976.50/628,708.50 = 628,708.50/x
  3. Step 3: Cross multiply
    306,976.50x = 628,708.50 × 628,708.50
  4. Step 4: Simplify right side
    306,976.50x = 395,274,377,972.25
  5. Step 5: Solve for x
    x = 395,274,377,972.25/306,976.50
  6. Step 6: Final answer
    x = 1,287,637.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.