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Finding the Third Proportional to 394,704 and 852,547

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Solution

The third proportional to 394,704 and 852,547 is: 1,841,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,704 : 852,547 = 852,547 : x
  2. Step 2: Convert to fraction form
    394,704/852,547 = 852,547/x
  3. Step 3: Cross multiply
    394,704x = 852,547 × 852,547
  4. Step 4: Simplify right side
    394,704x = 726,836,387,209
  5. Step 5: Solve for x
    x = 726,836,387,209/394,704
  6. Step 6: Final answer
    x = 1,841,472.06

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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.