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Finding the Third Proportional to 262.63 and 384.63

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Solution

The third proportional to 262.63 and 384.63 is: 563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.63 : 384.63 = 384.63 : x
  2. Step 2: Convert to fraction form
    262.63/384.63 = 384.63/x
  3. Step 3: Cross multiply
    262.63x = 384.63 × 384.63
  4. Step 4: Simplify right side
    262.63x = 147,936.39
  5. Step 5: Solve for x
    x = 147,936.39/262.63
  6. Step 6: Final answer
    x = 563.30

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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.