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Finding the Third Proportional to 295,940.25 and 641,678.63

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Solution

The third proportional to 295,940.25 and 641,678.63 is: 1,391,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,940.25 : 641,678.63 = 641,678.63 : x
  2. Step 2: Convert to fraction form
    295,940.25/641,678.63 = 641,678.63/x
  3. Step 3: Cross multiply
    295,940.25x = 641,678.63 × 641,678.63
  4. Step 4: Simplify right side
    295,940.25x = 411,751,457,781.89
  5. Step 5: Solve for x
    x = 411,751,457,781.89/295,940.25
  6. Step 6: Final answer
    x = 1,391,333.07

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