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Finding the Third Proportional to 344,027.25 and 531,380.25

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Solution

The third proportional to 344,027.25 and 531,380.25 is: 820,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,027.25 : 531,380.25 = 531,380.25 : x
  2. Step 2: Convert to fraction form
    344,027.25/531,380.25 = 531,380.25/x
  3. Step 3: Cross multiply
    344,027.25x = 531,380.25 × 531,380.25
  4. Step 4: Simplify right side
    344,027.25x = 282,364,970,090.06
  5. Step 5: Solve for x
    x = 282,364,970,090.06/344,027.25
  6. Step 6: Final answer
    x = 820,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.