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Finding the Third Proportional to 267,419 and 587,318

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Solution

The third proportional to 267,419 and 587,318 is: 1,289,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,419 : 587,318 = 587,318 : x
  2. Step 2: Convert to fraction form
    267,419/587,318 = 587,318/x
  3. Step 3: Cross multiply
    267,419x = 587,318 × 587,318
  4. Step 4: Simplify right side
    267,419x = 344,942,433,124
  5. Step 5: Solve for x
    x = 344,942,433,124/267,419
  6. Step 6: Final answer
    x = 1,289,895.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.