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Finding the Third Proportional to 307,032 and 467,976

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Solution

The third proportional to 307,032 and 467,976 is: 713,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,032 : 467,976 = 467,976 : x
  2. Step 2: Convert to fraction form
    307,032/467,976 = 467,976/x
  3. Step 3: Cross multiply
    307,032x = 467,976 × 467,976
  4. Step 4: Simplify right side
    307,032x = 219,001,536,576
  5. Step 5: Solve for x
    x = 219,001,536,576/307,032
  6. Step 6: Final answer
    x = 713,285.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.