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Finding the Third Proportional to 200,040 and 436,029

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Solution

The third proportional to 200,040 and 436,029 is: 950,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040 : 436,029 = 436,029 : x
  2. Step 2: Convert to fraction form
    200,040/436,029 = 436,029/x
  3. Step 3: Cross multiply
    200,040x = 436,029 × 436,029
  4. Step 4: Simplify right side
    200,040x = 190,121,288,841
  5. Step 5: Solve for x
    x = 190,121,288,841/200,040
  6. Step 6: Final answer
    x = 950,416.36

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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.