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Finding the Third Proportional to 230,408 and 505,100

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Solution

The third proportional to 230,408 and 505,100 is: 1,107,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408 : 505,100 = 505,100 : x
  2. Step 2: Convert to fraction form
    230,408/505,100 = 505,100/x
  3. Step 3: Cross multiply
    230,408x = 505,100 × 505,100
  4. Step 4: Simplify right side
    230,408x = 255,126,010,000
  5. Step 5: Solve for x
    x = 255,126,010,000/230,408
  6. Step 6: Final answer
    x = 1,107,279.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.