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Finding the Third Proportional to 322,855.88 and 502,736.63

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Solution

The third proportional to 322,855.88 and 502,736.63 is: 782,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,855.88 : 502,736.63 = 502,736.63 : x
  2. Step 2: Convert to fraction form
    322,855.88/502,736.63 = 502,736.63/x
  3. Step 3: Cross multiply
    322,855.88x = 502,736.63 × 502,736.63
  4. Step 4: Simplify right side
    322,855.88x = 252,744,114,116.39
  5. Step 5: Solve for x
    x = 252,744,114,116.39/322,855.88
  6. Step 6: Final answer
    x = 782,838.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.