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Finding the Third Proportional to 324,521 and 484,081

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Solution

The third proportional to 324,521 and 484,081 is: 722,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,521 : 484,081 = 484,081 : x
  2. Step 2: Convert to fraction form
    324,521/484,081 = 484,081/x
  3. Step 3: Cross multiply
    324,521x = 484,081 × 484,081
  4. Step 4: Simplify right side
    324,521x = 234,334,414,561
  5. Step 5: Solve for x
    x = 234,334,414,561/324,521
  6. Step 6: Final answer
    x = 722,093.22

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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.