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Finding the Third Proportional to 253,670.25 and 528,327.75

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Solution

The third proportional to 253,670.25 and 528,327.75 is: 1,100,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,670.25 : 528,327.75 = 528,327.75 : x
  2. Step 2: Convert to fraction form
    253,670.25/528,327.75 = 528,327.75/x
  3. Step 3: Cross multiply
    253,670.25x = 528,327.75 × 528,327.75
  4. Step 4: Simplify right side
    253,670.25x = 279,130,211,420.06
  5. Step 5: Solve for x
    x = 279,130,211,420.06/253,670.25
  6. Step 6: Final answer
    x = 1,100,366.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.