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Finding the Third Proportional to 347,569 and 811,962

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Solution

The third proportional to 347,569 and 811,962 is: 1,896,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,569 : 811,962 = 811,962 : x
  2. Step 2: Convert to fraction form
    347,569/811,962 = 811,962/x
  3. Step 3: Cross multiply
    347,569x = 811,962 × 811,962
  4. Step 4: Simplify right side
    347,569x = 659,282,289,444
  5. Step 5: Solve for x
    x = 659,282,289,444/347,569
  6. Step 6: Final answer
    x = 1,896,838.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.