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Finding the Third Proportional to 300,003.75 and 653,931.56

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Solution

The third proportional to 300,003.75 and 653,931.56 is: 1,425,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,003.75 : 653,931.56 = 653,931.56 : x
  2. Step 2: Convert to fraction form
    300,003.75/653,931.56 = 653,931.56/x
  3. Step 3: Cross multiply
    300,003.75x = 653,931.56 × 653,931.56
  4. Step 4: Simplify right side
    300,003.75x = 427,626,488,433.69
  5. Step 5: Solve for x
    x = 427,626,488,433.69/300,003.75
  6. Step 6: Final answer
    x = 1,425,403.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.