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Finding the Third Proportional to 329,866 and 493,929

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Solution

The third proportional to 329,866 and 493,929 is: 739,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,866 : 493,929 = 493,929 : x
  2. Step 2: Convert to fraction form
    329,866/493,929 = 493,929/x
  3. Step 3: Cross multiply
    329,866x = 493,929 × 493,929
  4. Step 4: Simplify right side
    329,866x = 243,965,857,041
  5. Step 5: Solve for x
    x = 243,965,857,041/329,866
  6. Step 6: Final answer
    x = 739,590.79

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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.