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Finding the Third Proportional to 365.77 and 527.77

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Solution

The third proportional to 365.77 and 527.77 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.77 : 527.77 = 527.77 : x
  2. Step 2: Convert to fraction form
    365.77/527.77 = 527.77/x
  3. Step 3: Cross multiply
    365.77x = 527.77 × 527.77
  4. Step 4: Simplify right side
    365.77x = 278,536.55
  5. Step 5: Solve for x
    x = 278,536.55/365.77
  6. Step 6: Final answer
    x = 761.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.