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Finding the Third Proportional to 201,676 and 423,992

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Solution

The third proportional to 201,676 and 423,992 is: 891,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676 : 423,992 = 423,992 : x
  2. Step 2: Convert to fraction form
    201,676/423,992 = 423,992/x
  3. Step 3: Cross multiply
    201,676x = 423,992 × 423,992
  4. Step 4: Simplify right side
    201,676x = 179,769,216,064
  5. Step 5: Solve for x
    x = 179,769,216,064/201,676
  6. Step 6: Final answer
    x = 891,376.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.