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Finding the Third Proportional to 350,304 and 543,519

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Solution

The third proportional to 350,304 and 543,519 is: 843,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,304 : 543,519 = 543,519 : x
  2. Step 2: Convert to fraction form
    350,304/543,519 = 543,519/x
  3. Step 3: Cross multiply
    350,304x = 543,519 × 543,519
  4. Step 4: Simplify right side
    350,304x = 295,412,903,361
  5. Step 5: Solve for x
    x = 295,412,903,361/350,304
  6. Step 6: Final answer
    x = 843,304.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.