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Finding the Third Proportional to 295,742 and 628,400

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Solution

The third proportional to 295,742 and 628,400 is: 1,335,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,742 : 628,400 = 628,400 : x
  2. Step 2: Convert to fraction form
    295,742/628,400 = 628,400/x
  3. Step 3: Cross multiply
    295,742x = 628,400 × 628,400
  4. Step 4: Simplify right side
    295,742x = 394,886,560,000
  5. Step 5: Solve for x
    x = 394,886,560,000/295,742
  6. Step 6: Final answer
    x = 1,335,240.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.