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Finding the Third Proportional to 203,682 and 446,532

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Solution

The third proportional to 203,682 and 446,532 is: 978,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,682 : 446,532 = 446,532 : x
  2. Step 2: Convert to fraction form
    203,682/446,532 = 446,532/x
  3. Step 3: Cross multiply
    203,682x = 446,532 × 446,532
  4. Step 4: Simplify right side
    203,682x = 199,390,827,024
  5. Step 5: Solve for x
    x = 199,390,827,024/203,682
  6. Step 6: Final answer
    x = 978,932.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.