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Finding the Third Proportional to 283,104 and 384,552

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Solution

The third proportional to 283,104 and 384,552 is: 522,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,104 : 384,552 = 384,552 : x
  2. Step 2: Convert to fraction form
    283,104/384,552 = 384,552/x
  3. Step 3: Cross multiply
    283,104x = 384,552 × 384,552
  4. Step 4: Simplify right side
    283,104x = 147,880,240,704
  5. Step 5: Solve for x
    x = 147,880,240,704/283,104
  6. Step 6: Final answer
    x = 522,353.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.