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Finding the Third Proportional to 320,958 and 496,713

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Solution

The third proportional to 320,958 and 496,713 is: 768,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,958 : 496,713 = 496,713 : x
  2. Step 2: Convert to fraction form
    320,958/496,713 = 496,713/x
  3. Step 3: Cross multiply
    320,958x = 496,713 × 496,713
  4. Step 4: Simplify right side
    320,958x = 246,723,804,369
  5. Step 5: Solve for x
    x = 246,723,804,369/320,958
  6. Step 6: Final answer
    x = 768,710.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.