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Finding the Third Proportional to 419,761 and 665,745

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Solution

The third proportional to 419,761 and 665,745 is: 1,055,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,761 : 665,745 = 665,745 : x
  2. Step 2: Convert to fraction form
    419,761/665,745 = 665,745/x
  3. Step 3: Cross multiply
    419,761x = 665,745 × 665,745
  4. Step 4: Simplify right side
    419,761x = 443,216,405,025
  5. Step 5: Solve for x
    x = 443,216,405,025/419,761
  6. Step 6: Final answer
    x = 1,055,878.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.