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Finding the Third Proportional to 347,786 and 762,244

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Solution

The third proportional to 347,786 and 762,244 is: 1,670,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,786 : 762,244 = 762,244 : x
  2. Step 2: Convert to fraction form
    347,786/762,244 = 762,244/x
  3. Step 3: Cross multiply
    347,786x = 762,244 × 762,244
  4. Step 4: Simplify right side
    347,786x = 581,015,915,536
  5. Step 5: Solve for x
    x = 581,015,915,536/347,786
  6. Step 6: Final answer
    x = 1,670,613.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.