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Finding the Third Proportional to 295,806 and 647,589

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Solution

The third proportional to 295,806 and 647,589 is: 1,417,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806 : 647,589 = 647,589 : x
  2. Step 2: Convert to fraction form
    295,806/647,589 = 647,589/x
  3. Step 3: Cross multiply
    295,806x = 647,589 × 647,589
  4. Step 4: Simplify right side
    295,806x = 419,371,512,921
  5. Step 5: Solve for x
    x = 419,371,512,921/295,806
  6. Step 6: Final answer
    x = 1,417,724.84

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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.