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Finding the Third Proportional to 404,732 and 888,196

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Solution

The third proportional to 404,732 and 888,196 is: 1,949,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,732 : 888,196 = 888,196 : x
  2. Step 2: Convert to fraction form
    404,732/888,196 = 888,196/x
  3. Step 3: Cross multiply
    404,732x = 888,196 × 888,196
  4. Step 4: Simplify right side
    404,732x = 788,892,134,416
  5. Step 5: Solve for x
    x = 788,892,134,416/404,732
  6. Step 6: Final answer
    x = 1,949,171.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.