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Finding the Third Proportional to 312,096 and 496,656

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Solution

The third proportional to 312,096 and 496,656 is: 790,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,096 : 496,656 = 496,656 : x
  2. Step 2: Convert to fraction form
    312,096/496,656 = 496,656/x
  3. Step 3: Cross multiply
    312,096x = 496,656 × 496,656
  4. Step 4: Simplify right side
    312,096x = 246,667,182,336
  5. Step 5: Solve for x
    x = 246,667,182,336/312,096
  6. Step 6: Final answer
    x = 790,356.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.