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Finding the Third Proportional to 508,072.50 and 762,149.25

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Solution

The third proportional to 508,072.50 and 762,149.25 is: 1,143,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,072.50 : 762,149.25 = 762,149.25 : x
  2. Step 2: Convert to fraction form
    508,072.50/762,149.25 = 762,149.25/x
  3. Step 3: Cross multiply
    508,072.50x = 762,149.25 × 762,149.25
  4. Step 4: Simplify right side
    508,072.50x = 580,871,479,275.56
  5. Step 5: Solve for x
    x = 580,871,479,275.56/508,072.50
  6. Step 6: Final answer
    x = 1,143,284.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.