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Finding the Third Proportional to 268,065.31 and 590,105.09

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Solution

The third proportional to 268,065.31 and 590,105.09 is: 1,299,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,065.31 : 590,105.09 = 590,105.09 : x
  2. Step 2: Convert to fraction form
    268,065.31/590,105.09 = 590,105.09/x
  3. Step 3: Cross multiply
    268,065.31x = 590,105.09 × 590,105.09
  4. Step 4: Simplify right side
    268,065.31x = 348,224,019,364.60
  5. Step 5: Solve for x
    x = 348,224,019,364.60/268,065.31
  6. Step 6: Final answer
    x = 1,299,026.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.