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Finding the Third Proportional to 392,217.19 and 856,362.38

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Solution

The third proportional to 392,217.19 and 856,362.38 is: 1,869,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,217.19 : 856,362.38 = 856,362.38 : x
  2. Step 2: Convert to fraction form
    392,217.19/856,362.38 = 856,362.38/x
  3. Step 3: Cross multiply
    392,217.19x = 856,362.38 × 856,362.38
  4. Step 4: Simplify right side
    392,217.19x = 733,356,517,315.64
  5. Step 5: Solve for x
    x = 733,356,517,315.64/392,217.19
  6. Step 6: Final answer
    x = 1,869,771.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.