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Finding the Third Proportional to 230,940 and 480,024

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Solution

The third proportional to 230,940 and 480,024 is: 997,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,940 : 480,024 = 480,024 : x
  2. Step 2: Convert to fraction form
    230,940/480,024 = 480,024/x
  3. Step 3: Cross multiply
    230,940x = 480,024 × 480,024
  4. Step 4: Simplify right side
    230,940x = 230,423,040,576
  5. Step 5: Solve for x
    x = 230,423,040,576/230,940
  6. Step 6: Final answer
    x = 997,761.50

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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.