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Finding the Third Proportional to 388,564 and 836,177

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Solution

The third proportional to 388,564 and 836,177 is: 1,799,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,564 : 836,177 = 836,177 : x
  2. Step 2: Convert to fraction form
    388,564/836,177 = 836,177/x
  3. Step 3: Cross multiply
    388,564x = 836,177 × 836,177
  4. Step 4: Simplify right side
    388,564x = 699,191,975,329
  5. Step 5: Solve for x
    x = 699,191,975,329/388,564
  6. Step 6: Final answer
    x = 1,799,425.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.