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Finding the Third Proportional to 202,602.75 and 436,628.25

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Solution

The third proportional to 202,602.75 and 436,628.25 is: 940,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,602.75 : 436,628.25 = 436,628.25 : x
  2. Step 2: Convert to fraction form
    202,602.75/436,628.25 = 436,628.25/x
  3. Step 3: Cross multiply
    202,602.75x = 436,628.25 × 436,628.25
  4. Step 4: Simplify right side
    202,602.75x = 190,644,228,698.06
  5. Step 5: Solve for x
    x = 190,644,228,698.06/202,602.75
  6. Step 6: Final answer
    x = 940,975.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.