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Finding the Third Proportional to 395,138 and 852,028

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Solution

The third proportional to 395,138 and 852,028 is: 1,837,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,138 : 852,028 = 852,028 : x
  2. Step 2: Convert to fraction form
    395,138/852,028 = 852,028/x
  3. Step 3: Cross multiply
    395,138x = 852,028 × 852,028
  4. Step 4: Simplify right side
    395,138x = 725,951,712,784
  5. Step 5: Solve for x
    x = 725,951,712,784/395,138
  6. Step 6: Final answer
    x = 1,837,210.58

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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.