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Finding the Third Proportional to 343,404.56 and 696,513.94

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Solution

The third proportional to 343,404.56 and 696,513.94 is: 1,412,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,404.56 : 696,513.94 = 696,513.94 : x
  2. Step 2: Convert to fraction form
    343,404.56/696,513.94 = 696,513.94/x
  3. Step 3: Cross multiply
    343,404.56x = 696,513.94 × 696,513.94
  4. Step 4: Simplify right side
    343,404.56x = 485,131,665,131.75
  5. Step 5: Solve for x
    x = 485,131,665,131.75/343,404.56
  6. Step 6: Final answer
    x = 1,412,711.76

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.