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Finding the Third Proportional to 253,255.50 and 401,024.25

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Solution

The third proportional to 253,255.50 and 401,024.25 is: 635,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,255.50 : 401,024.25 = 401,024.25 : x
  2. Step 2: Convert to fraction form
    253,255.50/401,024.25 = 401,024.25/x
  3. Step 3: Cross multiply
    253,255.50x = 401,024.25 × 401,024.25
  4. Step 4: Simplify right side
    253,255.50x = 160,820,449,088.06
  5. Step 5: Solve for x
    x = 160,820,449,088.06/253,255.50
  6. Step 6: Final answer
    x = 635,012.66

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