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Finding the Third Proportional to 347,548 and 811,976

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Solution

The third proportional to 347,548 and 811,976 is: 1,897,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,548 : 811,976 = 811,976 : x
  2. Step 2: Convert to fraction form
    347,548/811,976 = 811,976/x
  3. Step 3: Cross multiply
    347,548x = 811,976 × 811,976
  4. Step 4: Simplify right side
    347,548x = 659,305,024,576
  5. Step 5: Solve for x
    x = 659,305,024,576/347,548
  6. Step 6: Final answer
    x = 1,897,018.61

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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.