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Finding the Third Proportional to 200,464 and 440,608

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Solution

The third proportional to 200,464 and 440,608 is: 968,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464 : 440,608 = 440,608 : x
  2. Step 2: Convert to fraction form
    200,464/440,608 = 440,608/x
  3. Step 3: Cross multiply
    200,464x = 440,608 × 440,608
  4. Step 4: Simplify right side
    200,464x = 194,135,409,664
  5. Step 5: Solve for x
    x = 194,135,409,664/200,464
  6. Step 6: Final answer
    x = 968,430.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.