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Finding the Third Proportional to 352,424 and 545,912

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Solution

The third proportional to 352,424 and 545,912 is: 845,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,424 : 545,912 = 545,912 : x
  2. Step 2: Convert to fraction form
    352,424/545,912 = 545,912/x
  3. Step 3: Cross multiply
    352,424x = 545,912 × 545,912
  4. Step 4: Simplify right side
    352,424x = 298,019,911,744
  5. Step 5: Solve for x
    x = 298,019,911,744/352,424
  6. Step 6: Final answer
    x = 845,628.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.