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Finding the Third Proportional to 395,544 and 852,685

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Solution

The third proportional to 395,544 and 852,685 is: 1,838,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,544 : 852,685 = 852,685 : x
  2. Step 2: Convert to fraction form
    395,544/852,685 = 852,685/x
  3. Step 3: Cross multiply
    395,544x = 852,685 × 852,685
  4. Step 4: Simplify right side
    395,544x = 727,071,709,225
  5. Step 5: Solve for x
    x = 727,071,709,225/395,544
  6. Step 6: Final answer
    x = 1,838,156.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.