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Finding the Third Proportional to 237,441.38 and 519,913.69

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Solution

The third proportional to 237,441.38 and 519,913.69 is: 1,138,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,441.38 : 519,913.69 = 519,913.69 : x
  2. Step 2: Convert to fraction form
    237,441.38/519,913.69 = 519,913.69/x
  3. Step 3: Cross multiply
    237,441.38x = 519,913.69 × 519,913.69
  4. Step 4: Simplify right side
    237,441.38x = 270,310,242,449.85
  5. Step 5: Solve for x
    x = 270,310,242,449.85/237,441.38
  6. Step 6: Final answer
    x = 1,138,429.40

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