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Finding the Third Proportional to 365.63 and 801.94

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Solution

The third proportional to 365.63 and 801.94 is: 1,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 801.94 = 801.94 : x
  2. Step 2: Convert to fraction form
    365.63/801.94 = 801.94/x
  3. Step 3: Cross multiply
    365.63x = 801.94 × 801.94
  4. Step 4: Simplify right side
    365.63x = 643,103.75
  5. Step 5: Solve for x
    x = 643,103.75/365.63
  6. Step 6: Final answer
    x = 1,758.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.