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Finding the Third Proportional to 254,370 and 529,675

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Solution

The third proportional to 254,370 and 529,675 is: 1,102,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,370 : 529,675 = 529,675 : x
  2. Step 2: Convert to fraction form
    254,370/529,675 = 529,675/x
  3. Step 3: Cross multiply
    254,370x = 529,675 × 529,675
  4. Step 4: Simplify right side
    254,370x = 280,555,605,625
  5. Step 5: Solve for x
    x = 280,555,605,625/254,370
  6. Step 6: Final answer
    x = 1,102,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.