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Finding the Third Proportional to 285,175.69 and 606,664.69

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Solution

The third proportional to 285,175.69 and 606,664.69 is: 1,290,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,175.69 : 606,664.69 = 606,664.69 : x
  2. Step 2: Convert to fraction form
    285,175.69/606,664.69 = 606,664.69/x
  3. Step 3: Cross multiply
    285,175.69x = 606,664.69 × 606,664.69
  4. Step 4: Simplify right side
    285,175.69x = 368,042,043,059.47
  5. Step 5: Solve for x
    x = 368,042,043,059.47/285,175.69
  6. Step 6: Final answer
    x = 1,290,580.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.