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Finding the Third Proportional to 365.77 and 532.83

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Solution

The third proportional to 365.77 and 532.83 is: 776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.77 : 532.83 = 532.83 : x
  2. Step 2: Convert to fraction form
    365.77/532.83 = 532.83/x
  3. Step 3: Cross multiply
    365.77x = 532.83 × 532.83
  4. Step 4: Simplify right side
    365.77x = 283,905.81
  5. Step 5: Solve for x
    x = 283,905.81/365.77
  6. Step 6: Final answer
    x = 776.20

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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.