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Finding the Third Proportional to 467,925.75 and 957,984.75

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Solution

The third proportional to 467,925.75 and 957,984.75 is: 1,961,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,925.75 : 957,984.75 = 957,984.75 : x
  2. Step 2: Convert to fraction form
    467,925.75/957,984.75 = 957,984.75/x
  3. Step 3: Cross multiply
    467,925.75x = 957,984.75 × 957,984.75
  4. Step 4: Simplify right side
    467,925.75x = 917,734,781,232.56
  5. Step 5: Solve for x
    x = 917,734,781,232.56/467,925.75
  6. Step 6: Final answer
    x = 1,961,282.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.