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Finding the Third Proportional to 361,424 and 483,006

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Solution

The third proportional to 361,424 and 483,006 is: 645,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424 : 483,006 = 483,006 : x
  2. Step 2: Convert to fraction form
    361,424/483,006 = 483,006/x
  3. Step 3: Cross multiply
    361,424x = 483,006 × 483,006
  4. Step 4: Simplify right side
    361,424x = 233,294,796,036
  5. Step 5: Solve for x
    x = 233,294,796,036/361,424
  6. Step 6: Final answer
    x = 645,487.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.