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Finding the Third Proportional to 608,380.50 and 1,408,356

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Solution

The third proportional to 608,380.50 and 1,408,356 is: 3,260,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,380.50 : 1,408,356 = 1,408,356 : x
  2. Step 2: Convert to fraction form
    608,380.50/1,408,356 = 1,408,356/x
  3. Step 3: Cross multiply
    608,380.50x = 1,408,356 × 1,408,356
  4. Step 4: Simplify right side
    608,380.50x = 1,983,466,622,736
  5. Step 5: Solve for x
    x = 1,983,466,622,736/608,380.50
  6. Step 6: Final answer
    x = 3,260,240.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.