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Finding the Third Proportional to 394,929.42 and 595,881.56

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Solution

The third proportional to 394,929.42 and 595,881.56 is: 899,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,929.42 : 595,881.56 = 595,881.56 : x
  2. Step 2: Convert to fraction form
    394,929.42/595,881.56 = 595,881.56/x
  3. Step 3: Cross multiply
    394,929.42x = 595,881.56 × 595,881.56
  4. Step 4: Simplify right side
    394,929.42x = 355,074,836,527.44
  5. Step 5: Solve for x
    x = 355,074,836,527.44/394,929.42
  6. Step 6: Final answer
    x = 899,084.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.