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Finding the Third Proportional to 347,754 and 762,006

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Solution

The third proportional to 347,754 and 762,006 is: 1,669,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,754 : 762,006 = 762,006 : x
  2. Step 2: Convert to fraction form
    347,754/762,006 = 762,006/x
  3. Step 3: Cross multiply
    347,754x = 762,006 × 762,006
  4. Step 4: Simplify right side
    347,754x = 580,653,144,036
  5. Step 5: Solve for x
    x = 580,653,144,036/347,754
  6. Step 6: Final answer
    x = 1,669,723.84

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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.