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Finding the Third Proportional to 254,188 and 529,430

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Solution

The third proportional to 254,188 and 529,430 is: 1,102,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,188 : 529,430 = 529,430 : x
  2. Step 2: Convert to fraction form
    254,188/529,430 = 529,430/x
  3. Step 3: Cross multiply
    254,188x = 529,430 × 529,430
  4. Step 4: Simplify right side
    254,188x = 280,296,124,900
  5. Step 5: Solve for x
    x = 280,296,124,900/254,188
  6. Step 6: Final answer
    x = 1,102,711.87

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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.