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Finding the Third Proportional to 203,989 and 436,045

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Solution

The third proportional to 203,989 and 436,045 is: 932,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,989 : 436,045 = 436,045 : x
  2. Step 2: Convert to fraction form
    203,989/436,045 = 436,045/x
  3. Step 3: Cross multiply
    203,989x = 436,045 × 436,045
  4. Step 4: Simplify right side
    203,989x = 190,135,242,025
  5. Step 5: Solve for x
    x = 190,135,242,025/203,989
  6. Step 6: Final answer
    x = 932,085.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.