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Finding the Third Proportional to 267,080.63 and 382,584.94

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Solution

The third proportional to 267,080.63 and 382,584.94 is: 548,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,080.63 : 382,584.94 = 382,584.94 : x
  2. Step 2: Convert to fraction form
    267,080.63/382,584.94 = 382,584.94/x
  3. Step 3: Cross multiply
    267,080.63x = 382,584.94 × 382,584.94
  4. Step 4: Simplify right side
    267,080.63x = 146,371,234,401.88
  5. Step 5: Solve for x
    x = 146,371,234,401.88/267,080.63
  6. Step 6: Final answer
    x = 548,041.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.