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Finding the Third Proportional to 591,200 and 865,824

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Solution

The third proportional to 591,200 and 865,824 is: 1,268,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,200 : 865,824 = 865,824 : x
  2. Step 2: Convert to fraction form
    591,200/865,824 = 865,824/x
  3. Step 3: Cross multiply
    591,200x = 865,824 × 865,824
  4. Step 4: Simplify right side
    591,200x = 749,651,198,976
  5. Step 5: Solve for x
    x = 749,651,198,976/591,200
  6. Step 6: Final answer
    x = 1,268,016.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.