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Finding the Third Proportional to 253,246.50 and 401,010.75

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Solution

The third proportional to 253,246.50 and 401,010.75 is: 634,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,246.50 : 401,010.75 = 401,010.75 : x
  2. Step 2: Convert to fraction form
    253,246.50/401,010.75 = 401,010.75/x
  3. Step 3: Cross multiply
    253,246.50x = 401,010.75 × 401,010.75
  4. Step 4: Simplify right side
    253,246.50x = 160,809,621,615.56
  5. Step 5: Solve for x
    x = 160,809,621,615.56/253,246.50
  6. Step 6: Final answer
    x = 634,992.47

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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.