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Finding the Third Proportional to 262,991 and 372,130

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Solution

The third proportional to 262,991 and 372,130 is: 526,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,991 : 372,130 = 372,130 : x
  2. Step 2: Convert to fraction form
    262,991/372,130 = 372,130/x
  3. Step 3: Cross multiply
    262,991x = 372,130 × 372,130
  4. Step 4: Simplify right side
    262,991x = 138,480,736,900
  5. Step 5: Solve for x
    x = 138,480,736,900/262,991
  6. Step 6: Final answer
    x = 526,560.75

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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.