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Finding the Third Proportional to 305,901.56 and 656,105.06

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Solution

The third proportional to 305,901.56 and 656,105.06 is: 1,407,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,901.56 : 656,105.06 = 656,105.06 : x
  2. Step 2: Convert to fraction form
    305,901.56/656,105.06 = 656,105.06/x
  3. Step 3: Cross multiply
    305,901.56x = 656,105.06 × 656,105.06
  4. Step 4: Simplify right side
    305,901.56x = 430,473,853,038.13
  5. Step 5: Solve for x
    x = 430,473,853,038.13/305,901.56
  6. Step 6: Final answer
    x = 1,407,229.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.