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Finding the Third Proportional to 512,405 and 818,576

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Solution

The third proportional to 512,405 and 818,576 is: 1,307,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,405 : 818,576 = 818,576 : x
  2. Step 2: Convert to fraction form
    512,405/818,576 = 818,576/x
  3. Step 3: Cross multiply
    512,405x = 818,576 × 818,576
  4. Step 4: Simplify right side
    512,405x = 670,066,667,776
  5. Step 5: Solve for x
    x = 670,066,667,776/512,405
  6. Step 6: Final answer
    x = 1,307,689.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.