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Finding the Third Proportional to 518,040 and 800,064

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Solution

The third proportional to 518,040 and 800,064 is: 1,235,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,040 : 800,064 = 800,064 : x
  2. Step 2: Convert to fraction form
    518,040/800,064 = 800,064/x
  3. Step 3: Cross multiply
    518,040x = 800,064 × 800,064
  4. Step 4: Simplify right side
    518,040x = 640,102,404,096
  5. Step 5: Solve for x
    x = 640,102,404,096/518,040
  6. Step 6: Final answer
    x = 1,235,623.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.