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Finding the Third Proportional to 388,192 and 589,296

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Solution

The third proportional to 388,192 and 589,296 is: 894,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,192 : 589,296 = 589,296 : x
  2. Step 2: Convert to fraction form
    388,192/589,296 = 589,296/x
  3. Step 3: Cross multiply
    388,192x = 589,296 × 589,296
  4. Step 4: Simplify right side
    388,192x = 347,269,775,616
  5. Step 5: Solve for x
    x = 347,269,775,616/388,192
  6. Step 6: Final answer
    x = 894,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.