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Finding the Third Proportional to 274,202 and 409,041

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Solution

The third proportional to 274,202 and 409,041 is: 610,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,202 : 409,041 = 409,041 : x
  2. Step 2: Convert to fraction form
    274,202/409,041 = 409,041/x
  3. Step 3: Cross multiply
    274,202x = 409,041 × 409,041
  4. Step 4: Simplify right side
    274,202x = 167,314,539,681
  5. Step 5: Solve for x
    x = 167,314,539,681/274,202
  6. Step 6: Final answer
    x = 610,187.16

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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.