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Finding the Third Proportional to 240,048 and 523,296

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Solution

The third proportional to 240,048 and 523,296 is: 1,140,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,048 : 523,296 = 523,296 : x
  2. Step 2: Convert to fraction form
    240,048/523,296 = 523,296/x
  3. Step 3: Cross multiply
    240,048x = 523,296 × 523,296
  4. Step 4: Simplify right side
    240,048x = 273,838,703,616
  5. Step 5: Solve for x
    x = 273,838,703,616/240,048
  6. Step 6: Final answer
    x = 1,140,766.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.