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Finding the Third Proportional to 324,468 and 484,008

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Solution

The third proportional to 324,468 and 484,008 is: 721,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,468 : 484,008 = 484,008 : x
  2. Step 2: Convert to fraction form
    324,468/484,008 = 484,008/x
  3. Step 3: Cross multiply
    324,468x = 484,008 × 484,008
  4. Step 4: Simplify right side
    324,468x = 234,263,744,064
  5. Step 5: Solve for x
    x = 234,263,744,064/324,468
  6. Step 6: Final answer
    x = 721,993.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.