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Finding the Third Proportional to 203,683.50 and 447,484.50

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Solution

The third proportional to 203,683.50 and 447,484.50 is: 983,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,683.50 : 447,484.50 = 447,484.50 : x
  2. Step 2: Convert to fraction form
    203,683.50/447,484.50 = 447,484.50/x
  3. Step 3: Cross multiply
    203,683.50x = 447,484.50 × 447,484.50
  4. Step 4: Simplify right side
    203,683.50x = 200,242,377,740.25
  5. Step 5: Solve for x
    x = 200,242,377,740.25/203,683.50
  6. Step 6: Final answer
    x = 983,105.54

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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.