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Finding the Third Proportional to 303,714.56 and 656,136.56

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Solution

The third proportional to 303,714.56 and 656,136.56 is: 1,417,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,714.56 : 656,136.56 = 656,136.56 : x
  2. Step 2: Convert to fraction form
    303,714.56/656,136.56 = 656,136.56/x
  3. Step 3: Cross multiply
    303,714.56x = 656,136.56 × 656,136.56
  4. Step 4: Simplify right side
    303,714.56x = 430,515,188,649.32
  5. Step 5: Solve for x
    x = 430,515,188,649.32/303,714.56
  6. Step 6: Final answer
    x = 1,417,499.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.