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Finding the Third Proportional to 662,216.75 and 993,325.25

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Solution

The third proportional to 662,216.75 and 993,325.25 is: 1,489,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,216.75 : 993,325.25 = 993,325.25 : x
  2. Step 2: Convert to fraction form
    662,216.75/993,325.25 = 993,325.25/x
  3. Step 3: Cross multiply
    662,216.75x = 993,325.25 × 993,325.25
  4. Step 4: Simplify right side
    662,216.75x = 986,695,052,287.56
  5. Step 5: Solve for x
    x = 986,695,052,287.56/662,216.75
  6. Step 6: Final answer
    x = 1,489,988.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.