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Finding the Third Proportional to 203,935 and 447,265

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Solution

The third proportional to 203,935 and 447,265 is: 980,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,935 : 447,265 = 447,265 : x
  2. Step 2: Convert to fraction form
    203,935/447,265 = 447,265/x
  3. Step 3: Cross multiply
    203,935x = 447,265 × 447,265
  4. Step 4: Simplify right side
    203,935x = 200,045,980,225
  5. Step 5: Solve for x
    x = 200,045,980,225/203,935
  6. Step 6: Final answer
    x = 980,930.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.