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Finding the Third Proportional to 380,224 and 556,512

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Solution

The third proportional to 380,224 and 556,512 is: 814,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,224 : 556,512 = 556,512 : x
  2. Step 2: Convert to fraction form
    380,224/556,512 = 556,512/x
  3. Step 3: Cross multiply
    380,224x = 556,512 × 556,512
  4. Step 4: Simplify right side
    380,224x = 309,705,606,144
  5. Step 5: Solve for x
    x = 309,705,606,144/380,224
  6. Step 6: Final answer
    x = 814,534.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.