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Finding the Third Proportional to 347,452 and 754,682

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Solution

The third proportional to 347,452 and 754,682 is: 1,639,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,452 : 754,682 = 754,682 : x
  2. Step 2: Convert to fraction form
    347,452/754,682 = 754,682/x
  3. Step 3: Cross multiply
    347,452x = 754,682 × 754,682
  4. Step 4: Simplify right side
    347,452x = 569,544,921,124
  5. Step 5: Solve for x
    x = 569,544,921,124/347,452
  6. Step 6: Final answer
    x = 1,639,204.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.