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Finding the Third Proportional to 507,343.50 and 1,093,176

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Solution

The third proportional to 507,343.50 and 1,093,176 is: 2,355,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,343.50 : 1,093,176 = 1,093,176 : x
  2. Step 2: Convert to fraction form
    507,343.50/1,093,176 = 1,093,176/x
  3. Step 3: Cross multiply
    507,343.50x = 1,093,176 × 1,093,176
  4. Step 4: Simplify right side
    507,343.50x = 1,195,033,766,976
  5. Step 5: Solve for x
    x = 1,195,033,766,976/507,343.50
  6. Step 6: Final answer
    x = 2,355,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.