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Finding the Third Proportional to 342,974 and 753,825

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Solution

The third proportional to 342,974 and 753,825 is: 1,656,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,974 : 753,825 = 753,825 : x
  2. Step 2: Convert to fraction form
    342,974/753,825 = 753,825/x
  3. Step 3: Cross multiply
    342,974x = 753,825 × 753,825
  4. Step 4: Simplify right side
    342,974x = 568,252,130,625
  5. Step 5: Solve for x
    x = 568,252,130,625/342,974
  6. Step 6: Final answer
    x = 1,656,837.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.