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Finding the Third Proportional to 200,328 and 465,828

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Solution

The third proportional to 200,328 and 465,828 is: 1,083,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328 : 465,828 = 465,828 : x
  2. Step 2: Convert to fraction form
    200,328/465,828 = 465,828/x
  3. Step 3: Cross multiply
    200,328x = 465,828 × 465,828
  4. Step 4: Simplify right side
    200,328x = 216,995,725,584
  5. Step 5: Solve for x
    x = 216,995,725,584/200,328
  6. Step 6: Final answer
    x = 1,083,202.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.