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Finding the Third Proportional to 392,450.25 and 847,639.50

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Solution

The third proportional to 392,450.25 and 847,639.50 is: 1,830,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,450.25 : 847,639.50 = 847,639.50 : x
  2. Step 2: Convert to fraction form
    392,450.25/847,639.50 = 847,639.50/x
  3. Step 3: Cross multiply
    392,450.25x = 847,639.50 × 847,639.50
  4. Step 4: Simplify right side
    392,450.25x = 718,492,721,960.25
  5. Step 5: Solve for x
    x = 718,492,721,960.25/392,450.25
  6. Step 6: Final answer
    x = 1,830,786.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.