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Finding the Third Proportional to 351,022.50 and 576,591.75

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Solution

The third proportional to 351,022.50 and 576,591.75 is: 947,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,022.50 : 576,591.75 = 576,591.75 : x
  2. Step 2: Convert to fraction form
    351,022.50/576,591.75 = 576,591.75/x
  3. Step 3: Cross multiply
    351,022.50x = 576,591.75 × 576,591.75
  4. Step 4: Simplify right side
    351,022.50x = 332,458,046,168.06
  5. Step 5: Solve for x
    x = 332,458,046,168.06/351,022.50
  6. Step 6: Final answer
    x = 947,113.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.