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Finding the Third Proportional to 200,909 and 440,359

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Solution

The third proportional to 200,909 and 440,359 is: 965,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909 : 440,359 = 440,359 : x
  2. Step 2: Convert to fraction form
    200,909/440,359 = 440,359/x
  3. Step 3: Cross multiply
    200,909x = 440,359 × 440,359
  4. Step 4: Simplify right side
    200,909x = 193,916,048,881
  5. Step 5: Solve for x
    x = 193,916,048,881/200,909
  6. Step 6: Final answer
    x = 965,193.44

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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.