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Finding the Third Proportional to 363,133.13 and 741,028.50

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Solution

The third proportional to 363,133.13 and 741,028.50 is: 1,512,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,133.13 : 741,028.50 = 741,028.50 : x
  2. Step 2: Convert to fraction form
    363,133.13/741,028.50 = 741,028.50/x
  3. Step 3: Cross multiply
    363,133.13x = 741,028.50 × 741,028.50
  4. Step 4: Simplify right side
    363,133.13x = 549,123,237,812.25
  5. Step 5: Solve for x
    x = 549,123,237,812.25/363,133.13
  6. Step 6: Final answer
    x = 1,512,181.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.