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Finding the Third Proportional to 536,337 and 795,225

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Solution

The third proportional to 536,337 and 795,225 is: 1,179,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,337 : 795,225 = 795,225 : x
  2. Step 2: Convert to fraction form
    536,337/795,225 = 795,225/x
  3. Step 3: Cross multiply
    536,337x = 795,225 × 795,225
  4. Step 4: Simplify right side
    536,337x = 632,382,800,625
  5. Step 5: Solve for x
    x = 632,382,800,625/536,337
  6. Step 6: Final answer
    x = 1,179,077.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.