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Finding the Third Proportional to 394,703 and 852,545

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Solution

The third proportional to 394,703 and 852,545 is: 1,841,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,703 : 852,545 = 852,545 : x
  2. Step 2: Convert to fraction form
    394,703/852,545 = 852,545/x
  3. Step 3: Cross multiply
    394,703x = 852,545 × 852,545
  4. Step 4: Simplify right side
    394,703x = 726,832,977,025
  5. Step 5: Solve for x
    x = 726,832,977,025/394,703
  6. Step 6: Final answer
    x = 1,841,468.08

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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.