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Finding the Third Proportional to 204,621.19 and 477,802.55

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Solution

The third proportional to 204,621.19 and 477,802.55 is: 1,115,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,621.19 : 477,802.55 = 477,802.55 : x
  2. Step 2: Convert to fraction form
    204,621.19/477,802.55 = 477,802.55/x
  3. Step 3: Cross multiply
    204,621.19x = 477,802.55 × 477,802.55
  4. Step 4: Simplify right side
    204,621.19x = 228,295,273,800.24
  5. Step 5: Solve for x
    x = 228,295,273,800.24/204,621.19
  6. Step 6: Final answer
    x = 1,115,697.14

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.