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Finding the Third Proportional to 257,581.50 and 553,251

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Solution

The third proportional to 257,581.50 and 553,251 is: 1,188,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,581.50 : 553,251 = 553,251 : x
  2. Step 2: Convert to fraction form
    257,581.50/553,251 = 553,251/x
  3. Step 3: Cross multiply
    257,581.50x = 553,251 × 553,251
  4. Step 4: Simplify right side
    257,581.50x = 306,086,669,001
  5. Step 5: Solve for x
    x = 306,086,669,001/257,581.50
  6. Step 6: Final answer
    x = 1,188,309.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.