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Finding the Third Proportional to 327,660,240 and 703,946,148

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Solution

The third proportional to 327,660,240 and 703,946,148 is: 1,512,359,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,660,240 : 703,946,148 = 703,946,148 : x
  2. Step 2: Convert to fraction form
    327,660,240/703,946,148 = 703,946,148/x
  3. Step 3: Cross multiply
    327,660,240x = 703,946,148 × 703,946,148
  4. Step 4: Simplify right side
    327,660,240x = 495,540,179,284,037,888
  5. Step 5: Solve for x
    x = 495,540,179,284,037,888/327,660,240
  6. Step 6: Final answer
    x = 1,512,359,812.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.