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Finding the Third Proportional to 272,074 and 590,744

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Solution

The third proportional to 272,074 and 590,744 is: 1,282,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,074 : 590,744 = 590,744 : x
  2. Step 2: Convert to fraction form
    272,074/590,744 = 590,744/x
  3. Step 3: Cross multiply
    272,074x = 590,744 × 590,744
  4. Step 4: Simplify right side
    272,074x = 348,978,473,536
  5. Step 5: Solve for x
    x = 348,978,473,536/272,074
  6. Step 6: Final answer
    x = 1,282,660.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.