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Finding the Third Proportional to 320,932 and 496,687

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Solution

The third proportional to 320,932 and 496,687 is: 768,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,932 : 496,687 = 496,687 : x
  2. Step 2: Convert to fraction form
    320,932/496,687 = 496,687/x
  3. Step 3: Cross multiply
    320,932x = 496,687 × 496,687
  4. Step 4: Simplify right side
    320,932x = 246,697,975,969
  5. Step 5: Solve for x
    x = 246,697,975,969/320,932
  6. Step 6: Final answer
    x = 768,692.36

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