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Finding the Third Proportional to 512,144 and 737,712

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Solution

The third proportional to 512,144 and 737,712 is: 1,062,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,144 : 737,712 = 737,712 : x
  2. Step 2: Convert to fraction form
    512,144/737,712 = 737,712/x
  3. Step 3: Cross multiply
    512,144x = 737,712 × 737,712
  4. Step 4: Simplify right side
    512,144x = 544,218,994,944
  5. Step 5: Solve for x
    x = 544,218,994,944/512,144
  6. Step 6: Final answer
    x = 1,062,628.86

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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.