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Finding the Third Proportional to 404,211 and 880,185

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Solution

The third proportional to 404,211 and 880,185 is: 1,916,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,211 : 880,185 = 880,185 : x
  2. Step 2: Convert to fraction form
    404,211/880,185 = 880,185/x
  3. Step 3: Cross multiply
    404,211x = 880,185 × 880,185
  4. Step 4: Simplify right side
    404,211x = 774,725,634,225
  5. Step 5: Solve for x
    x = 774,725,634,225/404,211
  6. Step 6: Final answer
    x = 1,916,636.69

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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.