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Finding the Third Proportional to 580,032 and 816,828

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Solution

The third proportional to 580,032 and 816,828 is: 1,150,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,032 : 816,828 = 816,828 : x
  2. Step 2: Convert to fraction form
    580,032/816,828 = 816,828/x
  3. Step 3: Cross multiply
    580,032x = 816,828 × 816,828
  4. Step 4: Simplify right side
    580,032x = 667,207,981,584
  5. Step 5: Solve for x
    x = 667,207,981,584/580,032
  6. Step 6: Final answer
    x = 1,150,295.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.