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Finding the Third Proportional to 230,430 and 479,253

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Solution

The third proportional to 230,430 and 479,253 is: 996,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,430 : 479,253 = 479,253 : x
  2. Step 2: Convert to fraction form
    230,430/479,253 = 479,253/x
  3. Step 3: Cross multiply
    230,430x = 479,253 × 479,253
  4. Step 4: Simplify right side
    230,430x = 229,683,438,009
  5. Step 5: Solve for x
    x = 229,683,438,009/230,430
  6. Step 6: Final answer
    x = 996,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.