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Finding the Third Proportional to 394,527.75 and 577,026

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Solution

The third proportional to 394,527.75 and 577,026 is: 843,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,527.75 : 577,026 = 577,026 : x
  2. Step 2: Convert to fraction form
    394,527.75/577,026 = 577,026/x
  3. Step 3: Cross multiply
    394,527.75x = 577,026 × 577,026
  4. Step 4: Simplify right side
    394,527.75x = 332,959,004,676
  5. Step 5: Solve for x
    x = 332,959,004,676/394,527.75
  6. Step 6: Final answer
    x = 843,943.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.