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Finding the Third Proportional to 345,633 and 751,851

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Solution

The third proportional to 345,633 and 751,851 is: 1,635,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,633 : 751,851 = 751,851 : x
  2. Step 2: Convert to fraction form
    345,633/751,851 = 751,851/x
  3. Step 3: Cross multiply
    345,633x = 751,851 × 751,851
  4. Step 4: Simplify right side
    345,633x = 565,279,926,201
  5. Step 5: Solve for x
    x = 565,279,926,201/345,633
  6. Step 6: Final answer
    x = 1,635,491.77

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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.