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Finding the Third Proportional to 340,204 and 745,856

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Solution

The third proportional to 340,204 and 745,856 is: 1,635,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,204 : 745,856 = 745,856 : x
  2. Step 2: Convert to fraction form
    340,204/745,856 = 745,856/x
  3. Step 3: Cross multiply
    340,204x = 745,856 × 745,856
  4. Step 4: Simplify right side
    340,204x = 556,301,172,736
  5. Step 5: Solve for x
    x = 556,301,172,736/340,204
  6. Step 6: Final answer
    x = 1,635,198.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.