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Finding the Third Proportional to 203,628 and 447,420

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Solution

The third proportional to 203,628 and 447,420 is: 983,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,628 : 447,420 = 447,420 : x
  2. Step 2: Convert to fraction form
    203,628/447,420 = 447,420/x
  3. Step 3: Cross multiply
    203,628x = 447,420 × 447,420
  4. Step 4: Simplify right side
    203,628x = 200,184,656,400
  5. Step 5: Solve for x
    x = 200,184,656,400/203,628
  6. Step 6: Final answer
    x = 983,090.03

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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.