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Finding the Third Proportional to 289,769.50 and 611,003

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Solution

The third proportional to 289,769.50 and 611,003 is: 1,288,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,769.50 : 611,003 = 611,003 : x
  2. Step 2: Convert to fraction form
    289,769.50/611,003 = 611,003/x
  3. Step 3: Cross multiply
    289,769.50x = 611,003 × 611,003
  4. Step 4: Simplify right side
    289,769.50x = 373,324,666,009
  5. Step 5: Solve for x
    x = 373,324,666,009/289,769.50
  6. Step 6: Final answer
    x = 1,288,350.45

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