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Finding the Third Proportional to 420,613.25 and 917,352.75

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Solution

The third proportional to 420,613.25 and 917,352.75 is: 2,000,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,613.25 : 917,352.75 = 917,352.75 : x
  2. Step 2: Convert to fraction form
    420,613.25/917,352.75 = 917,352.75/x
  3. Step 3: Cross multiply
    420,613.25x = 917,352.75 × 917,352.75
  4. Step 4: Simplify right side
    420,613.25x = 841,536,067,932.56
  5. Step 5: Solve for x
    x = 841,536,067,932.56/420,613.25
  6. Step 6: Final answer
    x = 2,000,735.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.