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Finding the Third Proportional to 200,340 and 440,044

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Solution

The third proportional to 200,340 and 440,044 is: 966,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,340 : 440,044 = 440,044 : x
  2. Step 2: Convert to fraction form
    200,340/440,044 = 440,044/x
  3. Step 3: Cross multiply
    200,340x = 440,044 × 440,044
  4. Step 4: Simplify right side
    200,340x = 193,638,721,936
  5. Step 5: Solve for x
    x = 193,638,721,936/200,340
  6. Step 6: Final answer
    x = 966,550.47

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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.