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Finding the Third Proportional to 536.41 and 1,138.64

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Solution

The third proportional to 536.41 and 1,138.64 is: 2,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 1,138.64 = 1,138.64 : x
  2. Step 2: Convert to fraction form
    536.41/1,138.64 = 1,138.64/x
  3. Step 3: Cross multiply
    536.41x = 1,138.64 × 1,138.64
  4. Step 4: Simplify right side
    536.41x = 1,296,502.47
  5. Step 5: Solve for x
    x = 1,296,502.47/536.41
  6. Step 6: Final answer
    x = 2,416.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.