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Finding the Third Proportional to 200,608 and 440,580

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Solution

The third proportional to 200,608 and 440,580 is: 967,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,608 : 440,580 = 440,580 : x
  2. Step 2: Convert to fraction form
    200,608/440,580 = 440,580/x
  3. Step 3: Cross multiply
    200,608x = 440,580 × 440,580
  4. Step 4: Simplify right side
    200,608x = 194,110,736,400
  5. Step 5: Solve for x
    x = 194,110,736,400/200,608
  6. Step 6: Final answer
    x = 967,612.14

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Why These Related Problems?

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