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Finding the Third Proportional to 262,989 and 372,127

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Solution

The third proportional to 262,989 and 372,127 is: 526,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,989 : 372,127 = 372,127 : x
  2. Step 2: Convert to fraction form
    262,989/372,127 = 372,127/x
  3. Step 3: Cross multiply
    262,989x = 372,127 × 372,127
  4. Step 4: Simplify right side
    262,989x = 138,478,504,129
  5. Step 5: Solve for x
    x = 138,478,504,129/262,989
  6. Step 6: Final answer
    x = 526,556.26

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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.