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Finding the Third Proportional to 352,431 and 768,177

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Solution

The third proportional to 352,431 and 768,177 is: 1,674,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,431 : 768,177 = 768,177 : x
  2. Step 2: Convert to fraction form
    352,431/768,177 = 768,177/x
  3. Step 3: Cross multiply
    352,431x = 768,177 × 768,177
  4. Step 4: Simplify right side
    352,431x = 590,095,903,329
  5. Step 5: Solve for x
    x = 590,095,903,329/352,431
  6. Step 6: Final answer
    x = 1,674,358.68

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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.