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Finding the Third Proportional to 203,684 and 447,490

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Solution

The third proportional to 203,684 and 447,490 is: 983,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,684 : 447,490 = 447,490 : x
  2. Step 2: Convert to fraction form
    203,684/447,490 = 447,490/x
  3. Step 3: Cross multiply
    203,684x = 447,490 × 447,490
  4. Step 4: Simplify right side
    203,684x = 200,247,300,100
  5. Step 5: Solve for x
    x = 200,247,300,100/203,684
  6. Step 6: Final answer
    x = 983,127.30

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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.