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Finding the Third Proportional to 366,875 and 857,589

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Solution

The third proportional to 366,875 and 857,589 is: 2,004,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,875 : 857,589 = 857,589 : x
  2. Step 2: Convert to fraction form
    366,875/857,589 = 857,589/x
  3. Step 3: Cross multiply
    366,875x = 857,589 × 857,589
  4. Step 4: Simplify right side
    366,875x = 735,458,892,921
  5. Step 5: Solve for x
    x = 735,458,892,921/366,875
  6. Step 6: Final answer
    x = 2,004,657.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.