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Finding the Third Proportional to 264 and 623.63

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Solution

The third proportional to 264 and 623.63 is: 1,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 623.63 = 623.63 : x
  2. Step 2: Convert to fraction form
    264/623.63 = 623.63/x
  3. Step 3: Cross multiply
    264x = 623.63 × 623.63
  4. Step 4: Simplify right side
    264x = 388,908.14
  5. Step 5: Solve for x
    x = 388,908.14/264
  6. Step 6: Final answer
    x = 1,473.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.