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Finding the Third Proportional to 485,968.50 and 684,049.50

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Solution

The third proportional to 485,968.50 and 684,049.50 is: 962,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,968.50 : 684,049.50 = 684,049.50 : x
  2. Step 2: Convert to fraction form
    485,968.50/684,049.50 = 684,049.50/x
  3. Step 3: Cross multiply
    485,968.50x = 684,049.50 × 684,049.50
  4. Step 4: Simplify right side
    485,968.50x = 467,923,718,450.25
  5. Step 5: Solve for x
    x = 467,923,718,450.25/485,968.50
  6. Step 6: Final answer
    x = 962,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.