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Finding the Third Proportional to 344,832 and 517,716

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Solution

The third proportional to 344,832 and 517,716 is: 777,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,832 : 517,716 = 517,716 : x
  2. Step 2: Convert to fraction form
    344,832/517,716 = 517,716/x
  3. Step 3: Cross multiply
    344,832x = 517,716 × 517,716
  4. Step 4: Simplify right side
    344,832x = 268,029,856,656
  5. Step 5: Solve for x
    x = 268,029,856,656/344,832
  6. Step 6: Final answer
    x = 777,276.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.