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Finding the Third Proportional to 279,130 and 409,622

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Solution

The third proportional to 279,130 and 409,622 is: 601,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,130 : 409,622 = 409,622 : x
  2. Step 2: Convert to fraction form
    279,130/409,622 = 409,622/x
  3. Step 3: Cross multiply
    279,130x = 409,622 × 409,622
  4. Step 4: Simplify right side
    279,130x = 167,790,182,884
  5. Step 5: Solve for x
    x = 167,790,182,884/279,130
  6. Step 6: Final answer
    x = 601,118.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.