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Finding the Third Proportional to 322,881 and 503,944.50

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Solution

The third proportional to 322,881 and 503,944.50 is: 786,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,881 : 503,944.50 = 503,944.50 : x
  2. Step 2: Convert to fraction form
    322,881/503,944.50 = 503,944.50/x
  3. Step 3: Cross multiply
    322,881x = 503,944.50 × 503,944.50
  4. Step 4: Simplify right side
    322,881x = 253,960,059,080.25
  5. Step 5: Solve for x
    x = 253,960,059,080.25/322,881
  6. Step 6: Final answer
    x = 786,543.83

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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.