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Finding the Third Proportional to 200,677.50 and 443,220.19

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Solution

The third proportional to 200,677.50 and 443,220.19 is: 978,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,677.50 : 443,220.19 = 443,220.19 : x
  2. Step 2: Convert to fraction form
    200,677.50/443,220.19 = 443,220.19/x
  3. Step 3: Cross multiply
    200,677.50x = 443,220.19 × 443,220.19
  4. Step 4: Simplify right side
    200,677.50x = 196,444,134,607.54
  5. Step 5: Solve for x
    x = 196,444,134,607.54/200,677.50
  6. Step 6: Final answer
    x = 978,904.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.