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Finding the Third Proportional to 412,729.31 and 617,196.38

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Solution

The third proportional to 412,729.31 and 617,196.38 is: 922,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,729.31 : 617,196.38 = 617,196.38 : x
  2. Step 2: Convert to fraction form
    412,729.31/617,196.38 = 617,196.38/x
  3. Step 3: Cross multiply
    412,729.31x = 617,196.38 × 617,196.38
  4. Step 4: Simplify right side
    412,729.31x = 380,931,365,313.14
  5. Step 5: Solve for x
    x = 380,931,365,313.14/412,729.31
  6. Step 6: Final answer
    x = 922,956.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.