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Finding the Third Proportional to 323,589.38 and 506,509.88

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Solution

The third proportional to 323,589.38 and 506,509.88 is: 792,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,589.38 : 506,509.88 = 506,509.88 : x
  2. Step 2: Convert to fraction form
    323,589.38/506,509.88 = 506,509.88/x
  3. Step 3: Cross multiply
    323,589.38x = 506,509.88 × 506,509.88
  4. Step 4: Simplify right side
    323,589.38x = 256,552,253,472.52
  5. Step 5: Solve for x
    x = 256,552,253,472.52/323,589.38
  6. Step 6: Final answer
    x = 792,832.75

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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.