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Finding the Third Proportional to 355,944.38 and 773,448.75

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Solution

The third proportional to 355,944.38 and 773,448.75 is: 1,680,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,944.38 : 773,448.75 = 773,448.75 : x
  2. Step 2: Convert to fraction form
    355,944.38/773,448.75 = 773,448.75/x
  3. Step 3: Cross multiply
    355,944.38x = 773,448.75 × 773,448.75
  4. Step 4: Simplify right side
    355,944.38x = 598,222,968,876.56
  5. Step 5: Solve for x
    x = 598,222,968,876.56/355,944.38
  6. Step 6: Final answer
    x = 1,680,664.20

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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.