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Finding the Third Proportional to 389.65 and 623.16

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Solution

The third proportional to 389.65 and 623.16 is: 996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.65 : 623.16 = 623.16 : x
  2. Step 2: Convert to fraction form
    389.65/623.16 = 623.16/x
  3. Step 3: Cross multiply
    389.65x = 623.16 × 623.16
  4. Step 4: Simplify right side
    389.65x = 388,331.01
  5. Step 5: Solve for x
    x = 388,331.01/389.65
  6. Step 6: Final answer
    x = 996.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.