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Finding the Third Proportional to 311,175 and 666,630

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Solution

The third proportional to 311,175 and 666,630 is: 1,428,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,175 : 666,630 = 666,630 : x
  2. Step 2: Convert to fraction form
    311,175/666,630 = 666,630/x
  3. Step 3: Cross multiply
    311,175x = 666,630 × 666,630
  4. Step 4: Simplify right side
    311,175x = 444,395,556,900
  5. Step 5: Solve for x
    x = 444,395,556,900/311,175
  6. Step 6: Final answer
    x = 1,428,121.02

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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.