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Finding the Third Proportional to 218,350.69 and 477,181.76

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Solution

The third proportional to 218,350.69 and 477,181.76 is: 1,042,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,350.69 : 477,181.76 = 477,181.76 : x
  2. Step 2: Convert to fraction form
    218,350.69/477,181.76 = 477,181.76/x
  3. Step 3: Cross multiply
    218,350.69x = 477,181.76 × 477,181.76
  4. Step 4: Simplify right side
    218,350.69x = 227,702,429,989.03
  5. Step 5: Solve for x
    x = 227,702,429,989.03/218,350.69
  6. Step 6: Final answer
    x = 1,042,829.00

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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.