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Finding the Third Proportional to 404,218 and 880,196

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Solution

The third proportional to 404,218 and 880,196 is: 1,916,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,218 : 880,196 = 880,196 : x
  2. Step 2: Convert to fraction form
    404,218/880,196 = 880,196/x
  3. Step 3: Cross multiply
    404,218x = 880,196 × 880,196
  4. Step 4: Simplify right side
    404,218x = 774,744,998,416
  5. Step 5: Solve for x
    x = 774,744,998,416/404,218
  6. Step 6: Final answer
    x = 1,916,651.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.