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Finding the Third Proportional to 327,805.50 and 506,266.50

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Solution

The third proportional to 327,805.50 and 506,266.50 is: 781,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,805.50 : 506,266.50 = 506,266.50 : x
  2. Step 2: Convert to fraction form
    327,805.50/506,266.50 = 506,266.50/x
  3. Step 3: Cross multiply
    327,805.50x = 506,266.50 × 506,266.50
  4. Step 4: Simplify right side
    327,805.50x = 256,305,769,022.25
  5. Step 5: Solve for x
    x = 256,305,769,022.25/327,805.50
  6. Step 6: Final answer
    x = 781,883.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.