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Finding the Third Proportional to 498,769.31 and 773,885.81

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Solution

The third proportional to 498,769.31 and 773,885.81 is: 1,200,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,769.31 : 773,885.81 = 773,885.81 : x
  2. Step 2: Convert to fraction form
    498,769.31/773,885.81 = 773,885.81/x
  3. Step 3: Cross multiply
    498,769.31x = 773,885.81 × 773,885.81
  4. Step 4: Simplify right side
    498,769.31x = 598,899,250,788.79
  5. Step 5: Solve for x
    x = 598,899,250,788.79/498,769.31
  6. Step 6: Final answer
    x = 1,200,754.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.