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Finding the Third Proportional to 512,267.50 and 770,055

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Solution

The third proportional to 512,267.50 and 770,055 is: 1,157,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.50 : 770,055 = 770,055 : x
  2. Step 2: Convert to fraction form
    512,267.50/770,055 = 770,055/x
  3. Step 3: Cross multiply
    512,267.50x = 770,055 × 770,055
  4. Step 4: Simplify right side
    512,267.50x = 592,984,703,025
  5. Step 5: Solve for x
    x = 592,984,703,025/512,267.50
  6. Step 6: Final answer
    x = 1,157,568.46

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