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Finding the Third Proportional to 347,756 and 762,010

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Solution

The third proportional to 347,756 and 762,010 is: 1,669,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,756 : 762,010 = 762,010 : x
  2. Step 2: Convert to fraction form
    347,756/762,010 = 762,010/x
  3. Step 3: Cross multiply
    347,756x = 762,010 × 762,010
  4. Step 4: Simplify right side
    347,756x = 580,659,240,100
  5. Step 5: Solve for x
    x = 580,659,240,100/347,756
  6. Step 6: Final answer
    x = 1,669,731.77

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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.