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Finding the Third Proportional to 367.03 and 536.77

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Solution

The third proportional to 367.03 and 536.77 is: 784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.03 : 536.77 = 536.77 : x
  2. Step 2: Convert to fraction form
    367.03/536.77 = 536.77/x
  3. Step 3: Cross multiply
    367.03x = 536.77 × 536.77
  4. Step 4: Simplify right side
    367.03x = 288,117.34
  5. Step 5: Solve for x
    x = 288,117.34/367.03
  6. Step 6: Final answer
    x = 784.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.