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Finding the Third Proportional to 188,547 and 396,483

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Solution

The third proportional to 188,547 and 396,483 is: 833,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,547 : 396,483 = 396,483 : x
  2. Step 2: Convert to fraction form
    188,547/396,483 = 396,483/x
  3. Step 3: Cross multiply
    188,547x = 396,483 × 396,483
  4. Step 4: Simplify right side
    188,547x = 157,198,769,289
  5. Step 5: Solve for x
    x = 157,198,769,289/188,547
  6. Step 6: Final answer
    x = 833,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.