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Finding the Third Proportional to 275,094 and 410,049

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Solution

The third proportional to 275,094 and 410,049 is: 611,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,094 : 410,049 = 410,049 : x
  2. Step 2: Convert to fraction form
    275,094/410,049 = 410,049/x
  3. Step 3: Cross multiply
    275,094x = 410,049 × 410,049
  4. Step 4: Simplify right side
    275,094x = 168,140,182,401
  5. Step 5: Solve for x
    x = 168,140,182,401/275,094
  6. Step 6: Final answer
    x = 611,209.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.