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Finding the Third Proportional to 254,144 and 534,497

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Solution

The third proportional to 254,144 and 534,497 is: 1,124,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,144 : 534,497 = 534,497 : x
  2. Step 2: Convert to fraction form
    254,144/534,497 = 534,497/x
  3. Step 3: Cross multiply
    254,144x = 534,497 × 534,497
  4. Step 4: Simplify right side
    254,144x = 285,687,043,009
  5. Step 5: Solve for x
    x = 285,687,043,009/254,144
  6. Step 6: Final answer
    x = 1,124,114.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.