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Finding the Third Proportional to 230,233.50 and 469,828.50

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Solution

The third proportional to 230,233.50 and 469,828.50 is: 958,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,233.50 : 469,828.50 = 469,828.50 : x
  2. Step 2: Convert to fraction form
    230,233.50/469,828.50 = 469,828.50/x
  3. Step 3: Cross multiply
    230,233.50x = 469,828.50 × 469,828.50
  4. Step 4: Simplify right side
    230,233.50x = 220,738,819,412.25
  5. Step 5: Solve for x
    x = 220,738,819,412.25/230,233.50
  6. Step 6: Final answer
    x = 958,760.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.