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Finding the Third Proportional to 309,378 and 492,286

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Solution

The third proportional to 309,378 and 492,286 is: 783,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,378 : 492,286 = 492,286 : x
  2. Step 2: Convert to fraction form
    309,378/492,286 = 492,286/x
  3. Step 3: Cross multiply
    309,378x = 492,286 × 492,286
  4. Step 4: Simplify right side
    309,378x = 242,345,505,796
  5. Step 5: Solve for x
    x = 242,345,505,796/309,378
  6. Step 6: Final answer
    x = 783,331.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.