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Finding the Third Proportional to 237,363.72 and 519,749.41

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Solution

The third proportional to 237,363.72 and 519,749.41 is: 1,138,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,363.72 : 519,749.41 = 519,749.41 : x
  2. Step 2: Convert to fraction form
    237,363.72/519,749.41 = 519,749.41/x
  3. Step 3: Cross multiply
    237,363.72x = 519,749.41 × 519,749.41
  4. Step 4: Simplify right side
    237,363.72x = 270,139,452,656.98
  5. Step 5: Solve for x
    x = 270,139,452,656.98/237,363.72
  6. Step 6: Final answer
    x = 1,138,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.