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Finding the Third Proportional to 386,451 and 783,816.75

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Solution

The third proportional to 386,451 and 783,816.75 is: 1,589,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,451 : 783,816.75 = 783,816.75 : x
  2. Step 2: Convert to fraction form
    386,451/783,816.75 = 783,816.75/x
  3. Step 3: Cross multiply
    386,451x = 783,816.75 × 783,816.75
  4. Step 4: Simplify right side
    386,451x = 614,368,697,580.56
  5. Step 5: Solve for x
    x = 614,368,697,580.56/386,451
  6. Step 6: Final answer
    x = 1,589,771.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.