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Finding the Third Proportional to 324,520 and 484,080

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Solution

The third proportional to 324,520 and 484,080 is: 722,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,520 : 484,080 = 484,080 : x
  2. Step 2: Convert to fraction form
    324,520/484,080 = 484,080/x
  3. Step 3: Cross multiply
    324,520x = 484,080 × 484,080
  4. Step 4: Simplify right side
    324,520x = 234,333,446,400
  5. Step 5: Solve for x
    x = 234,333,446,400/324,520
  6. Step 6: Final answer
    x = 722,092.46

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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.