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Finding the Third Proportional to 233,299.50 and 491,500.50

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Solution

The third proportional to 233,299.50 and 491,500.50 is: 1,035,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,299.50 : 491,500.50 = 491,500.50 : x
  2. Step 2: Convert to fraction form
    233,299.50/491,500.50 = 491,500.50/x
  3. Step 3: Cross multiply
    233,299.50x = 491,500.50 × 491,500.50
  4. Step 4: Simplify right side
    233,299.50x = 241,572,741,500.25
  5. Step 5: Solve for x
    x = 241,572,741,500.25/233,299.50
  6. Step 6: Final answer
    x = 1,035,461.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.