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Finding the Third Proportional to 253,932 and 401,751

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Solution

The third proportional to 253,932 and 401,751 is: 635,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,932 : 401,751 = 401,751 : x
  2. Step 2: Convert to fraction form
    253,932/401,751 = 401,751/x
  3. Step 3: Cross multiply
    253,932x = 401,751 × 401,751
  4. Step 4: Simplify right side
    253,932x = 161,403,866,001
  5. Step 5: Solve for x
    x = 161,403,866,001/253,932
  6. Step 6: Final answer
    x = 635,618.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.