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Finding the Third Proportional to 323,601 and 506,526

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Solution

The third proportional to 323,601 and 506,526 is: 792,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,601 : 506,526 = 506,526 : x
  2. Step 2: Convert to fraction form
    323,601/506,526 = 506,526/x
  3. Step 3: Cross multiply
    323,601x = 506,526 × 506,526
  4. Step 4: Simplify right side
    323,601x = 256,568,588,676
  5. Step 5: Solve for x
    x = 256,568,588,676/323,601
  6. Step 6: Final answer
    x = 792,854.75

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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.