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Finding the Third Proportional to 263,344 and 513,548

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Solution

The third proportional to 263,344 and 513,548 is: 1,001,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,344 : 513,548 = 513,548 : x
  2. Step 2: Convert to fraction form
    263,344/513,548 = 513,548/x
  3. Step 3: Cross multiply
    263,344x = 513,548 × 513,548
  4. Step 4: Simplify right side
    263,344x = 263,731,548,304
  5. Step 5: Solve for x
    x = 263,731,548,304/263,344
  6. Step 6: Final answer
    x = 1,001,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.