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Finding the Third Proportional to 304.70 and 659.71

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Solution

The third proportional to 304.70 and 659.71 is: 1,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 659.71 = 659.71 : x
  2. Step 2: Convert to fraction form
    304.70/659.71 = 659.71/x
  3. Step 3: Cross multiply
    304.70x = 659.71 × 659.71
  4. Step 4: Simplify right side
    304.70x = 435,213.37
  5. Step 5: Solve for x
    x = 435,213.37/304.70
  6. Step 6: Final answer
    x = 1,428.34

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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.