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Finding the Third Proportional to 383,982 and 540,494

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Solution

The third proportional to 383,982 and 540,494 is: 760,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,982 : 540,494 = 540,494 : x
  2. Step 2: Convert to fraction form
    383,982/540,494 = 540,494/x
  3. Step 3: Cross multiply
    383,982x = 540,494 × 540,494
  4. Step 4: Simplify right side
    383,982x = 292,133,764,036
  5. Step 5: Solve for x
    x = 292,133,764,036/383,982
  6. Step 6: Final answer
    x = 760,800.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.