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Finding the Third Proportional to 512,122 and 737,729

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Solution

The third proportional to 512,122 and 737,729 is: 1,062,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,122 : 737,729 = 737,729 : x
  2. Step 2: Convert to fraction form
    512,122/737,729 = 737,729/x
  3. Step 3: Cross multiply
    512,122x = 737,729 × 737,729
  4. Step 4: Simplify right side
    512,122x = 544,244,077,441
  5. Step 5: Solve for x
    x = 544,244,077,441/512,122
  6. Step 6: Final answer
    x = 1,062,723.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.