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Finding the Third Proportional to 262,986 and 372,123

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Solution

The third proportional to 262,986 and 372,123 is: 526,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,986 : 372,123 = 372,123 : x
  2. Step 2: Convert to fraction form
    262,986/372,123 = 372,123/x
  3. Step 3: Cross multiply
    262,986x = 372,123 × 372,123
  4. Step 4: Simplify right side
    262,986x = 138,475,527,129
  5. Step 5: Solve for x
    x = 138,475,527,129/262,986
  6. Step 6: Final answer
    x = 526,550.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.