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Finding the Third Proportional to 218,299.50 and 477,177.75

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Solution

The third proportional to 218,299.50 and 477,177.75 is: 1,043,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,299.50 : 477,177.75 = 477,177.75 : x
  2. Step 2: Convert to fraction form
    218,299.50/477,177.75 = 477,177.75/x
  3. Step 3: Cross multiply
    218,299.50x = 477,177.75 × 477,177.75
  4. Step 4: Simplify right side
    218,299.50x = 227,698,605,095.06
  5. Step 5: Solve for x
    x = 227,698,605,095.06/218,299.50
  6. Step 6: Final answer
    x = 1,043,056.01

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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.