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Finding the Third Proportional to 512,412 and 818,584

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Solution

The third proportional to 512,412 and 818,584 is: 1,307,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,412 : 818,584 = 818,584 : x
  2. Step 2: Convert to fraction form
    512,412/818,584 = 818,584/x
  3. Step 3: Cross multiply
    512,412x = 818,584 × 818,584
  4. Step 4: Simplify right side
    512,412x = 670,079,765,056
  5. Step 5: Solve for x
    x = 670,079,765,056/512,412
  6. Step 6: Final answer
    x = 1,307,697.25

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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.