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Finding the Third Proportional to 200,786.34 and 436,564.69

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Solution

The third proportional to 200,786.34 and 436,564.69 is: 949,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,786.34 : 436,564.69 = 436,564.69 : x
  2. Step 2: Convert to fraction form
    200,786.34/436,564.69 = 436,564.69/x
  3. Step 3: Cross multiply
    200,786.34x = 436,564.69 × 436,564.69
  4. Step 4: Simplify right side
    200,786.34x = 190,588,726,371.97
  5. Step 5: Solve for x
    x = 190,588,726,371.97/200,786.34
  6. Step 6: Final answer
    x = 949,211.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.