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Finding the Third Proportional to 510,182 and 737,504

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Solution

The third proportional to 510,182 and 737,504 is: 1,066,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,182 : 737,504 = 737,504 : x
  2. Step 2: Convert to fraction form
    510,182/737,504 = 737,504/x
  3. Step 3: Cross multiply
    510,182x = 737,504 × 737,504
  4. Step 4: Simplify right side
    510,182x = 543,912,150,016
  5. Step 5: Solve for x
    x = 543,912,150,016/510,182
  6. Step 6: Final answer
    x = 1,066,113.96

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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.