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Finding the Third Proportional to 270,278,266 and 590,098,642

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Solution

The third proportional to 270,278,266 and 590,098,642 is: 1,288,362,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,278,266 : 590,098,642 = 590,098,642 : x
  2. Step 2: Convert to fraction form
    270,278,266/590,098,642 = 590,098,642/x
  3. Step 3: Cross multiply
    270,278,266x = 590,098,642 × 590,098,642
  4. Step 4: Simplify right side
    270,278,266x = 348,216,407,290,244,160
  5. Step 5: Solve for x
    x = 348,216,407,290,244,160/270,278,266
  6. Step 6: Final answer
    x = 1,288,362,591.80

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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.