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Finding the Third Proportional to 322,529.50 and 512,397.50

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Solution

The third proportional to 322,529.50 and 512,397.50 is: 814,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,529.50 : 512,397.50 = 512,397.50 : x
  2. Step 2: Convert to fraction form
    322,529.50/512,397.50 = 512,397.50/x
  3. Step 3: Cross multiply
    322,529.50x = 512,397.50 × 512,397.50
  4. Step 4: Simplify right side
    322,529.50x = 262,551,198,006.25
  5. Step 5: Solve for x
    x = 262,551,198,006.25/322,529.50
  6. Step 6: Final answer
    x = 814,037.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.