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Finding the Third Proportional to 365.63 and 474.33

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Solution

The third proportional to 365.63 and 474.33 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 474.33 = 474.33 : x
  2. Step 2: Convert to fraction form
    365.63/474.33 = 474.33/x
  3. Step 3: Cross multiply
    365.63x = 474.33 × 474.33
  4. Step 4: Simplify right side
    365.63x = 224,987.17
  5. Step 5: Solve for x
    x = 224,987.17/365.63
  6. Step 6: Final answer
    x = 615.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.