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Finding the Third Proportional to 237,913.50 and 561,426.75

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Solution

The third proportional to 237,913.50 and 561,426.75 is: 1,324,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,913.50 : 561,426.75 = 561,426.75 : x
  2. Step 2: Convert to fraction form
    237,913.50/561,426.75 = 561,426.75/x
  3. Step 3: Cross multiply
    237,913.50x = 561,426.75 × 561,426.75
  4. Step 4: Simplify right side
    237,913.50x = 315,199,995,615.56
  5. Step 5: Solve for x
    x = 315,199,995,615.56/237,913.50
  6. Step 6: Final answer
    x = 1,324,851.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.