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Finding the Third Proportional to 446,025.23 and 718,168.78

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Solution

The third proportional to 446,025.23 and 718,168.78 is: 1,156,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,025.23 : 718,168.78 = 718,168.78 : x
  2. Step 2: Convert to fraction form
    446,025.23/718,168.78 = 718,168.78/x
  3. Step 3: Cross multiply
    446,025.23x = 718,168.78 × 718,168.78
  4. Step 4: Simplify right side
    446,025.23x = 515,766,398,362.11
  5. Step 5: Solve for x
    x = 515,766,398,362.11/446,025.23
  6. Step 6: Final answer
    x = 1,156,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.