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Finding the Third Proportional to 331,492.50 and 491,022

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Solution

The third proportional to 331,492.50 and 491,022 is: 727,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,492.50 : 491,022 = 491,022 : x
  2. Step 2: Convert to fraction form
    331,492.50/491,022 = 491,022/x
  3. Step 3: Cross multiply
    331,492.50x = 491,022 × 491,022
  4. Step 4: Simplify right side
    331,492.50x = 241,102,604,484
  5. Step 5: Solve for x
    x = 241,102,604,484/331,492.50
  6. Step 6: Final answer
    x = 727,324.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.