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Finding the Third Proportional to 365,444 and 880,394

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Solution

The third proportional to 365,444 and 880,394 is: 2,120,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,444 : 880,394 = 880,394 : x
  2. Step 2: Convert to fraction form
    365,444/880,394 = 880,394/x
  3. Step 3: Cross multiply
    365,444x = 880,394 × 880,394
  4. Step 4: Simplify right side
    365,444x = 775,093,595,236
  5. Step 5: Solve for x
    x = 775,093,595,236/365,444
  6. Step 6: Final answer
    x = 2,120,964.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.