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Finding the Third Proportional to 303.44 and 646.56

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Solution

The third proportional to 303.44 and 646.56 is: 1,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.44 : 646.56 = 646.56 : x
  2. Step 2: Convert to fraction form
    303.44/646.56 = 646.56/x
  3. Step 3: Cross multiply
    303.44x = 646.56 × 646.56
  4. Step 4: Simplify right side
    303.44x = 418,043.07
  5. Step 5: Solve for x
    x = 418,043.07/303.44
  6. Step 6: Final answer
    x = 1,377.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.