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Finding the Third Proportional to 347,108 and 757,864

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Solution

The third proportional to 347,108 and 757,864 is: 1,654,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,108 : 757,864 = 757,864 : x
  2. Step 2: Convert to fraction form
    347,108/757,864 = 757,864/x
  3. Step 3: Cross multiply
    347,108x = 757,864 × 757,864
  4. Step 4: Simplify right side
    347,108x = 574,357,842,496
  5. Step 5: Solve for x
    x = 574,357,842,496/347,108
  6. Step 6: Final answer
    x = 1,654,694.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.