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Finding the Third Proportional to 224,328 and 519,348

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Solution

The third proportional to 224,328 and 519,348 is: 1,202,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,328 : 519,348 = 519,348 : x
  2. Step 2: Convert to fraction form
    224,328/519,348 = 519,348/x
  3. Step 3: Cross multiply
    224,328x = 519,348 × 519,348
  4. Step 4: Simplify right side
    224,328x = 269,722,345,104
  5. Step 5: Solve for x
    x = 269,722,345,104/224,328
  6. Step 6: Final answer
    x = 1,202,357.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.