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Finding the Third Proportional to 200,745 and 438,425

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Solution

The third proportional to 200,745 and 438,425 is: 957,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 438,425 = 438,425 : x
  2. Step 2: Convert to fraction form
    200,745/438,425 = 438,425/x
  3. Step 3: Cross multiply
    200,745x = 438,425 × 438,425
  4. Step 4: Simplify right side
    200,745x = 192,216,480,625
  5. Step 5: Solve for x
    x = 192,216,480,625/200,745
  6. Step 6: Final answer
    x = 957,515.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.