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Finding the Third Proportional to 200,268 and 465,678

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Solution

The third proportional to 200,268 and 465,678 is: 1,082,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,268 : 465,678 = 465,678 : x
  2. Step 2: Convert to fraction form
    200,268/465,678 = 465,678/x
  3. Step 3: Cross multiply
    200,268x = 465,678 × 465,678
  4. Step 4: Simplify right side
    200,268x = 216,855,999,684
  5. Step 5: Solve for x
    x = 216,855,999,684/200,268
  6. Step 6: Final answer
    x = 1,082,829.01

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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.