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Finding the Third Proportional to 510,171 and 737,493

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Solution

The third proportional to 510,171 and 737,493 is: 1,066,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,171 : 737,493 = 737,493 : x
  2. Step 2: Convert to fraction form
    510,171/737,493 = 737,493/x
  3. Step 3: Cross multiply
    510,171x = 737,493 × 737,493
  4. Step 4: Simplify right side
    510,171x = 543,895,925,049
  5. Step 5: Solve for x
    x = 543,895,925,049/510,171
  6. Step 6: Final answer
    x = 1,066,105.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.