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Finding the Third Proportional to 204,454.13 and 477,570.94

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Solution

The third proportional to 204,454.13 and 477,570.94 is: 1,115,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,454.13 : 477,570.94 = 477,570.94 : x
  2. Step 2: Convert to fraction form
    204,454.13/477,570.94 = 477,570.94/x
  3. Step 3: Cross multiply
    204,454.13x = 477,570.94 × 477,570.94
  4. Step 4: Simplify right side
    204,454.13x = 228,074,000,344.63
  5. Step 5: Solve for x
    x = 228,074,000,344.63/204,454.13
  6. Step 6: Final answer
    x = 1,115,526.53

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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.