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Finding the Third Proportional to 457,912.50 and 673,147.50

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Solution

The third proportional to 457,912.50 and 673,147.50 is: 989,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,912.50 : 673,147.50 = 673,147.50 : x
  2. Step 2: Convert to fraction form
    457,912.50/673,147.50 = 673,147.50/x
  3. Step 3: Cross multiply
    457,912.50x = 673,147.50 × 673,147.50
  4. Step 4: Simplify right side
    457,912.50x = 453,127,556,756.25
  5. Step 5: Solve for x
    x = 453,127,556,756.25/457,912.50
  6. Step 6: Final answer
    x = 989,550.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.