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Finding the Third Proportional to 334,198.50 and 721,665

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Solution

The third proportional to 334,198.50 and 721,665 is: 1,558,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,198.50 : 721,665 = 721,665 : x
  2. Step 2: Convert to fraction form
    334,198.50/721,665 = 721,665/x
  3. Step 3: Cross multiply
    334,198.50x = 721,665 × 721,665
  4. Step 4: Simplify right side
    334,198.50x = 520,800,372,225
  5. Step 5: Solve for x
    x = 520,800,372,225/334,198.50
  6. Step 6: Final answer
    x = 1,558,356.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.