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Finding the Third Proportional to 235,308 and 483,126

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Solution

The third proportional to 235,308 and 483,126 is: 991,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,308 : 483,126 = 483,126 : x
  2. Step 2: Convert to fraction form
    235,308/483,126 = 483,126/x
  3. Step 3: Cross multiply
    235,308x = 483,126 × 483,126
  4. Step 4: Simplify right side
    235,308x = 233,410,731,876
  5. Step 5: Solve for x
    x = 233,410,731,876/235,308
  6. Step 6: Final answer
    x = 991,937.09

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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.