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Finding the Third Proportional to 306,976.50 and 626,436

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Solution

The third proportional to 306,976.50 and 626,436 is: 1,278,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,976.50 : 626,436 = 626,436 : x
  2. Step 2: Convert to fraction form
    306,976.50/626,436 = 626,436/x
  3. Step 3: Cross multiply
    306,976.50x = 626,436 × 626,436
  4. Step 4: Simplify right side
    306,976.50x = 392,422,062,096
  5. Step 5: Solve for x
    x = 392,422,062,096/306,976.50
  6. Step 6: Final answer
    x = 1,278,345.61

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.