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Finding the Third Proportional to 244,696 and 322,476

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Solution

The third proportional to 244,696 and 322,476 is: 424,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,696 : 322,476 = 322,476 : x
  2. Step 2: Convert to fraction form
    244,696/322,476 = 322,476/x
  3. Step 3: Cross multiply
    244,696x = 322,476 × 322,476
  4. Step 4: Simplify right side
    244,696x = 103,990,770,576
  5. Step 5: Solve for x
    x = 103,990,770,576/244,696
  6. Step 6: Final answer
    x = 424,979.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.