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Finding the Third Proportional to 267,022.50 and 413,318

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Solution

The third proportional to 267,022.50 and 413,318 is: 639,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,022.50 : 413,318 = 413,318 : x
  2. Step 2: Convert to fraction form
    267,022.50/413,318 = 413,318/x
  3. Step 3: Cross multiply
    267,022.50x = 413,318 × 413,318
  4. Step 4: Simplify right side
    267,022.50x = 170,831,769,124
  5. Step 5: Solve for x
    x = 170,831,769,124/267,022.50
  6. Step 6: Final answer
    x = 639,765.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.