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Finding the Third Proportional to 364,801 and 548,369

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Solution

The third proportional to 364,801 and 548,369 is: 824,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,801 : 548,369 = 548,369 : x
  2. Step 2: Convert to fraction form
    364,801/548,369 = 548,369/x
  3. Step 3: Cross multiply
    364,801x = 548,369 × 548,369
  4. Step 4: Simplify right side
    364,801x = 300,708,560,161
  5. Step 5: Solve for x
    x = 300,708,560,161/364,801
  6. Step 6: Final answer
    x = 824,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.