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Finding the Third Proportional to 203,635 and 447,417

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Solution

The third proportional to 203,635 and 447,417 is: 983,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,635 : 447,417 = 447,417 : x
  2. Step 2: Convert to fraction form
    203,635/447,417 = 447,417/x
  3. Step 3: Cross multiply
    203,635x = 447,417 × 447,417
  4. Step 4: Simplify right side
    203,635x = 200,181,971,889
  5. Step 5: Solve for x
    x = 200,181,971,889/203,635
  6. Step 6: Final answer
    x = 983,043.05

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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.