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Finding the Third Proportional to 235,399.50 and 483,207

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Solution

The third proportional to 235,399.50 and 483,207 is: 991,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,399.50 : 483,207 = 483,207 : x
  2. Step 2: Convert to fraction form
    235,399.50/483,207 = 483,207/x
  3. Step 3: Cross multiply
    235,399.50x = 483,207 × 483,207
  4. Step 4: Simplify right side
    235,399.50x = 233,489,004,849
  5. Step 5: Solve for x
    x = 233,489,004,849/235,399.50
  6. Step 6: Final answer
    x = 991,884.03

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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.