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Finding the Third Proportional to 303,014 and 656,176

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Solution

The third proportional to 303,014 and 656,176 is: 1,420,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,014 : 656,176 = 656,176 : x
  2. Step 2: Convert to fraction form
    303,014/656,176 = 656,176/x
  3. Step 3: Cross multiply
    303,014x = 656,176 × 656,176
  4. Step 4: Simplify right side
    303,014x = 430,566,942,976
  5. Step 5: Solve for x
    x = 430,566,942,976/303,014
  6. Step 6: Final answer
    x = 1,420,947.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.