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Finding the Third Proportional to 535,722 and 727,575

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Solution

The third proportional to 535,722 and 727,575 is: 988,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,722 : 727,575 = 727,575 : x
  2. Step 2: Convert to fraction form
    535,722/727,575 = 727,575/x
  3. Step 3: Cross multiply
    535,722x = 727,575 × 727,575
  4. Step 4: Simplify right side
    535,722x = 529,365,380,625
  5. Step 5: Solve for x
    x = 529,365,380,625/535,722
  6. Step 6: Final answer
    x = 988,134.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.