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Finding the Third Proportional to 404,205 and 880,171

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Solution

The third proportional to 404,205 and 880,171 is: 1,916,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,205 : 880,171 = 880,171 : x
  2. Step 2: Convert to fraction form
    404,205/880,171 = 880,171/x
  3. Step 3: Cross multiply
    404,205x = 880,171 × 880,171
  4. Step 4: Simplify right side
    404,205x = 774,700,989,241
  5. Step 5: Solve for x
    x = 774,700,989,241/404,205
  6. Step 6: Final answer
    x = 1,916,604.17

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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.