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Finding the Third Proportional to 320,929 and 496,682

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Solution

The third proportional to 320,929 and 496,682 is: 768,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,929 : 496,682 = 496,682 : x
  2. Step 2: Convert to fraction form
    320,929/496,682 = 496,682/x
  3. Step 3: Cross multiply
    320,929x = 496,682 × 496,682
  4. Step 4: Simplify right side
    320,929x = 246,693,009,124
  5. Step 5: Solve for x
    x = 246,693,009,124/320,929
  6. Step 6: Final answer
    x = 768,684.07

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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.