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Finding the Third Proportional to 383,260.50 and 806,211

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Solution

The third proportional to 383,260.50 and 806,211 is: 1,695,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,260.50 : 806,211 = 806,211 : x
  2. Step 2: Convert to fraction form
    383,260.50/806,211 = 806,211/x
  3. Step 3: Cross multiply
    383,260.50x = 806,211 × 806,211
  4. Step 4: Simplify right side
    383,260.50x = 649,976,176,521
  5. Step 5: Solve for x
    x = 649,976,176,521/383,260.50
  6. Step 6: Final answer
    x = 1,695,912.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.