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Finding the Third Proportional to 365.77 and 549.28

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Solution

The third proportional to 365.77 and 549.28 is: 824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.77 : 549.28 = 549.28 : x
  2. Step 2: Convert to fraction form
    365.77/549.28 = 549.28/x
  3. Step 3: Cross multiply
    365.77x = 549.28 × 549.28
  4. Step 4: Simplify right side
    365.77x = 301,709.89
  5. Step 5: Solve for x
    x = 301,709.89/365.77
  6. Step 6: Final answer
    x = 824.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.