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Finding the Third Proportional to 254,364 and 529,660

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Solution

The third proportional to 254,364 and 529,660 is: 1,102,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,364 : 529,660 = 529,660 : x
  2. Step 2: Convert to fraction form
    254,364/529,660 = 529,660/x
  3. Step 3: Cross multiply
    254,364x = 529,660 × 529,660
  4. Step 4: Simplify right side
    254,364x = 280,539,715,600
  5. Step 5: Solve for x
    x = 280,539,715,600/254,364
  6. Step 6: Final answer
    x = 1,102,906.53

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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.