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Finding the Third Proportional to 409,404 and 888,735

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Solution

The third proportional to 409,404 and 888,735 is: 1,929,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,404 : 888,735 = 888,735 : x
  2. Step 2: Convert to fraction form
    409,404/888,735 = 888,735/x
  3. Step 3: Cross multiply
    409,404x = 888,735 × 888,735
  4. Step 4: Simplify right side
    409,404x = 789,849,900,225
  5. Step 5: Solve for x
    x = 789,849,900,225/409,404
  6. Step 6: Final answer
    x = 1,929,267.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.