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Finding the Third Proportional to 270,710.25 and 378,492.75

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Solution

The third proportional to 270,710.25 and 378,492.75 is: 529,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,710.25 : 378,492.75 = 378,492.75 : x
  2. Step 2: Convert to fraction form
    270,710.25/378,492.75 = 378,492.75/x
  3. Step 3: Cross multiply
    270,710.25x = 378,492.75 × 378,492.75
  4. Step 4: Simplify right side
    270,710.25x = 143,256,761,802.56
  5. Step 5: Solve for x
    x = 143,256,761,802.56/270,710.25
  6. Step 6: Final answer
    x = 529,188.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.