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Finding the Third Proportional to 412.69 and 623.06

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Solution

The third proportional to 412.69 and 623.06 is: 940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 623.06 = 623.06 : x
  2. Step 2: Convert to fraction form
    412.69/623.06 = 623.06/x
  3. Step 3: Cross multiply
    412.69x = 623.06 × 623.06
  4. Step 4: Simplify right side
    412.69x = 388,206.88
  5. Step 5: Solve for x
    x = 388,206.88/412.69
  6. Step 6: Final answer
    x = 940.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.