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Finding the Third Proportional to 323,603 and 506,529

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Solution

The third proportional to 323,603 and 506,529 is: 792,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,603 : 506,529 = 506,529 : x
  2. Step 2: Convert to fraction form
    323,603/506,529 = 506,529/x
  3. Step 3: Cross multiply
    323,603x = 506,529 × 506,529
  4. Step 4: Simplify right side
    323,603x = 256,571,627,841
  5. Step 5: Solve for x
    x = 256,571,627,841/323,603
  6. Step 6: Final answer
    x = 792,859.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.