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Finding the Third Proportional to 514,512 and 795,096

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Solution

The third proportional to 514,512 and 795,096 is: 1,228,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,512 : 795,096 = 795,096 : x
  2. Step 2: Convert to fraction form
    514,512/795,096 = 795,096/x
  3. Step 3: Cross multiply
    514,512x = 795,096 × 795,096
  4. Step 4: Simplify right side
    514,512x = 632,177,649,216
  5. Step 5: Solve for x
    x = 632,177,649,216/514,512
  6. Step 6: Final answer
    x = 1,228,693.69

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Why These Related Problems?

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