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Finding the Third Proportional to 514,080 and 768,096

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Solution

The third proportional to 514,080 and 768,096 is: 1,147,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,080 : 768,096 = 768,096 : x
  2. Step 2: Convert to fraction form
    514,080/768,096 = 768,096/x
  3. Step 3: Cross multiply
    514,080x = 768,096 × 768,096
  4. Step 4: Simplify right side
    514,080x = 589,971,465,216
  5. Step 5: Solve for x
    x = 589,971,465,216/514,080
  6. Step 6: Final answer
    x = 1,147,625.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.