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Finding the Third Proportional to 304.70 and 465.59

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Solution

The third proportional to 304.70 and 465.59 is: 711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 465.59 = 465.59 : x
  2. Step 2: Convert to fraction form
    304.70/465.59 = 465.59/x
  3. Step 3: Cross multiply
    304.70x = 465.59 × 465.59
  4. Step 4: Simplify right side
    304.70x = 216,775.72
  5. Step 5: Solve for x
    x = 216,775.72/304.70
  6. Step 6: Final answer
    x = 711.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.