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Finding the Third Proportional to 379.69 and 599.91

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Solution

The third proportional to 379.69 and 599.91 is: 947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 599.91 = 599.91 : x
  2. Step 2: Convert to fraction form
    379.69/599.91 = 599.91/x
  3. Step 3: Cross multiply
    379.69x = 599.91 × 599.91
  4. Step 4: Simplify right side
    379.69x = 359,887.51
  5. Step 5: Solve for x
    x = 359,887.51/379.69
  6. Step 6: Final answer
    x = 947.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.