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Finding the Third Proportional to 305,917.59 and 656,121.94

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Solution

The third proportional to 305,917.59 and 656,121.94 is: 1,407,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,917.59 : 656,121.94 = 656,121.94 : x
  2. Step 2: Convert to fraction form
    305,917.59/656,121.94 = 656,121.94/x
  3. Step 3: Cross multiply
    305,917.59x = 656,121.94 × 656,121.94
  4. Step 4: Simplify right side
    305,917.59x = 430,495,996,868.75
  5. Step 5: Solve for x
    x = 430,495,996,868.75/305,917.59
  6. Step 6: Final answer
    x = 1,407,228.63

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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.