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Finding the Third Proportional to 492,040.50 and 803,464.50

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Solution

The third proportional to 492,040.50 and 803,464.50 is: 1,311,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,040.50 : 803,464.50 = 803,464.50 : x
  2. Step 2: Convert to fraction form
    492,040.50/803,464.50 = 803,464.50/x
  3. Step 3: Cross multiply
    492,040.50x = 803,464.50 × 803,464.50
  4. Step 4: Simplify right side
    492,040.50x = 645,555,202,760.25
  5. Step 5: Solve for x
    x = 645,555,202,760.25/492,040.50
  6. Step 6: Final answer
    x = 1,311,996.07

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.