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Finding the Third Proportional to 313,857 and 456,204

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Solution

The third proportional to 313,857 and 456,204 is: 663,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,857 : 456,204 = 456,204 : x
  2. Step 2: Convert to fraction form
    313,857/456,204 = 456,204/x
  3. Step 3: Cross multiply
    313,857x = 456,204 × 456,204
  4. Step 4: Simplify right side
    313,857x = 208,122,089,616
  5. Step 5: Solve for x
    x = 208,122,089,616/313,857
  6. Step 6: Final answer
    x = 663,111.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.