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Finding the Third Proportional to 320,087.50 and 699,233

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Solution

The third proportional to 320,087.50 and 699,233 is: 1,527,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,087.50 : 699,233 = 699,233 : x
  2. Step 2: Convert to fraction form
    320,087.50/699,233 = 699,233/x
  3. Step 3: Cross multiply
    320,087.50x = 699,233 × 699,233
  4. Step 4: Simplify right side
    320,087.50x = 488,926,788,289
  5. Step 5: Solve for x
    x = 488,926,788,289/320,087.50
  6. Step 6: Final answer
    x = 1,527,478.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.