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Finding the Third Proportional to 336,530 and 786,407

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Solution

The third proportional to 336,530 and 786,407 is: 1,837,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,530 : 786,407 = 786,407 : x
  2. Step 2: Convert to fraction form
    336,530/786,407 = 786,407/x
  3. Step 3: Cross multiply
    336,530x = 786,407 × 786,407
  4. Step 4: Simplify right side
    336,530x = 618,435,969,649
  5. Step 5: Solve for x
    x = 618,435,969,649/336,530
  6. Step 6: Final answer
    x = 1,837,684.51

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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.