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Finding the Third Proportional to 366,523.50 and 516,136.50

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Solution

The third proportional to 366,523.50 and 516,136.50 is: 726,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,523.50 : 516,136.50 = 516,136.50 : x
  2. Step 2: Convert to fraction form
    366,523.50/516,136.50 = 516,136.50/x
  3. Step 3: Cross multiply
    366,523.50x = 516,136.50 × 516,136.50
  4. Step 4: Simplify right side
    366,523.50x = 266,396,886,632.25
  5. Step 5: Solve for x
    x = 266,396,886,632.25/366,523.50
  6. Step 6: Final answer
    x = 726,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.