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Finding the Third Proportional to 270,864 and 560,232

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Solution

The third proportional to 270,864 and 560,232 is: 1,158,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,864 : 560,232 = 560,232 : x
  2. Step 2: Convert to fraction form
    270,864/560,232 = 560,232/x
  3. Step 3: Cross multiply
    270,864x = 560,232 × 560,232
  4. Step 4: Simplify right side
    270,864x = 313,859,893,824
  5. Step 5: Solve for x
    x = 313,859,893,824/270,864
  6. Step 6: Final answer
    x = 1,158,736.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.