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Finding the Third Proportional to 311,094 and 666,252

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Solution

The third proportional to 311,094 and 666,252 is: 1,426,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094 : 666,252 = 666,252 : x
  2. Step 2: Convert to fraction form
    311,094/666,252 = 666,252/x
  3. Step 3: Cross multiply
    311,094x = 666,252 × 666,252
  4. Step 4: Simplify right side
    311,094x = 443,891,727,504
  5. Step 5: Solve for x
    x = 443,891,727,504/311,094
  6. Step 6: Final answer
    x = 1,426,873.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.