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Finding the Third Proportional to 529,103 and 798,425

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Solution

The third proportional to 529,103 and 798,425 is: 1,204,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,103 : 798,425 = 798,425 : x
  2. Step 2: Convert to fraction form
    529,103/798,425 = 798,425/x
  3. Step 3: Cross multiply
    529,103x = 798,425 × 798,425
  4. Step 4: Simplify right side
    529,103x = 637,482,480,625
  5. Step 5: Solve for x
    x = 637,482,480,625/529,103
  6. Step 6: Final answer
    x = 1,204,836.26

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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.