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Finding the Third Proportional to 365,624 and 552,324

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Solution

The third proportional to 365,624 and 552,324 is: 834,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,624 : 552,324 = 552,324 : x
  2. Step 2: Convert to fraction form
    365,624/552,324 = 552,324/x
  3. Step 3: Cross multiply
    365,624x = 552,324 × 552,324
  4. Step 4: Simplify right side
    365,624x = 305,061,800,976
  5. Step 5: Solve for x
    x = 305,061,800,976/365,624
  6. Step 6: Final answer
    x = 834,359.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.