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Finding the Third Proportional to 276,105 and 602,190

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Solution

The third proportional to 276,105 and 602,190 is: 1,313,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,105 : 602,190 = 602,190 : x
  2. Step 2: Convert to fraction form
    276,105/602,190 = 602,190/x
  3. Step 3: Cross multiply
    276,105x = 602,190 × 602,190
  4. Step 4: Simplify right side
    276,105x = 362,632,796,100
  5. Step 5: Solve for x
    x = 362,632,796,100/276,105
  6. Step 6: Final answer
    x = 1,313,387.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.