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Finding the Third Proportional to 265,724 and 394,800

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Solution

The third proportional to 265,724 and 394,800 is: 586,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,724 : 394,800 = 394,800 : x
  2. Step 2: Convert to fraction form
    265,724/394,800 = 394,800/x
  3. Step 3: Cross multiply
    265,724x = 394,800 × 394,800
  4. Step 4: Simplify right side
    265,724x = 155,867,040,000
  5. Step 5: Solve for x
    x = 155,867,040,000/265,724
  6. Step 6: Final answer
    x = 586,574.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.