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Finding the Third Proportional to 364.94 and 805.38

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Solution

The third proportional to 364.94 and 805.38 is: 1,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.94 : 805.38 = 805.38 : x
  2. Step 2: Convert to fraction form
    364.94/805.38 = 805.38/x
  3. Step 3: Cross multiply
    364.94x = 805.38 × 805.38
  4. Step 4: Simplify right side
    364.94x = 648,628.89
  5. Step 5: Solve for x
    x = 648,628.89/364.94
  6. Step 6: Final answer
    x = 1,777.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.