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Finding the Third Proportional to 323,586.75 and 506,505.75

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Solution

The third proportional to 323,586.75 and 506,505.75 is: 792,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,586.75 : 506,505.75 = 506,505.75 : x
  2. Step 2: Convert to fraction form
    323,586.75/506,505.75 = 506,505.75/x
  3. Step 3: Cross multiply
    323,586.75x = 506,505.75 × 506,505.75
  4. Step 4: Simplify right side
    323,586.75x = 256,548,074,783.06
  5. Step 5: Solve for x
    x = 256,548,074,783.06/323,586.75
  6. Step 6: Final answer
    x = 792,826.27

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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.