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Finding the Third Proportional to 270,278,224 and 590,098,561

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Solution

The third proportional to 270,278,224 and 590,098,561 is: 1,288,362,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,278,224 : 590,098,561 = 590,098,561 : x
  2. Step 2: Convert to fraction form
    270,278,224/590,098,561 = 590,098,561/x
  3. Step 3: Cross multiply
    270,278,224x = 590,098,561 × 590,098,561
  4. Step 4: Simplify right side
    270,278,224x = 348,216,311,694,270,720
  5. Step 5: Solve for x
    x = 348,216,311,694,270,720/270,278,224
  6. Step 6: Final answer
    x = 1,288,362,438.31

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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.