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Finding the Third Proportional to 235,408.50 and 483,225

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Solution

The third proportional to 235,408.50 and 483,225 is: 991,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,408.50 : 483,225 = 483,225 : x
  2. Step 2: Convert to fraction form
    235,408.50/483,225 = 483,225/x
  3. Step 3: Cross multiply
    235,408.50x = 483,225 × 483,225
  4. Step 4: Simplify right side
    235,408.50x = 233,506,400,625
  5. Step 5: Solve for x
    x = 233,506,400,625/235,408.50
  6. Step 6: Final answer
    x = 991,920.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.