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Finding the Third Proportional to 404,244 and 880,205

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Solution

The third proportional to 404,244 and 880,205 is: 1,916,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,244 : 880,205 = 880,205 : x
  2. Step 2: Convert to fraction form
    404,244/880,205 = 880,205/x
  3. Step 3: Cross multiply
    404,244x = 880,205 × 880,205
  4. Step 4: Simplify right side
    404,244x = 774,760,842,025
  5. Step 5: Solve for x
    x = 774,760,842,025/404,244
  6. Step 6: Final answer
    x = 1,916,567.33

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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.