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Finding the Third Proportional to 536.63 and 850.38

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Solution

The third proportional to 536.63 and 850.38 is: 1,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.63 : 850.38 = 850.38 : x
  2. Step 2: Convert to fraction form
    536.63/850.38 = 850.38/x
  3. Step 3: Cross multiply
    536.63x = 850.38 × 850.38
  4. Step 4: Simplify right side
    536.63x = 723,137.64
  5. Step 5: Solve for x
    x = 723,137.64/536.63
  6. Step 6: Final answer
    x = 1,347.57

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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.