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Finding the Third Proportional to 270,982.13 and 590,221.69

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Solution

The third proportional to 270,982.13 and 590,221.69 is: 1,285,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,982.13 : 590,221.69 = 590,221.69 : x
  2. Step 2: Convert to fraction form
    270,982.13/590,221.69 = 590,221.69/x
  3. Step 3: Cross multiply
    270,982.13x = 590,221.69 × 590,221.69
  4. Step 4: Simplify right side
    270,982.13x = 348,361,640,395.35
  5. Step 5: Solve for x
    x = 348,361,640,395.35/270,982.13
  6. Step 6: Final answer
    x = 1,285,552.10

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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.