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Finding the Third Proportional to 309,472.10 and 656,202.94

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Solution

The third proportional to 309,472.10 and 656,202.94 is: 1,391,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,472.10 : 656,202.94 = 656,202.94 : x
  2. Step 2: Convert to fraction form
    309,472.10/656,202.94 = 656,202.94/x
  3. Step 3: Cross multiply
    309,472.10x = 656,202.94 × 656,202.94
  4. Step 4: Simplify right side
    309,472.10x = 430,602,295,183.63
  5. Step 5: Solve for x
    x = 430,602,295,183.63/309,472.10
  6. Step 6: Final answer
    x = 1,391,409.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.