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Finding the Third Proportional to 270,451.13 and 412,827.75

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Solution

The third proportional to 270,451.13 and 412,827.75 is: 630,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,451.13 : 412,827.75 = 412,827.75 : x
  2. Step 2: Convert to fraction form
    270,451.13/412,827.75 = 412,827.75/x
  3. Step 3: Cross multiply
    270,451.13x = 412,827.75 × 412,827.75
  4. Step 4: Simplify right side
    270,451.13x = 170,426,751,170.06
  5. Step 5: Solve for x
    x = 170,426,751,170.06/270,451.13
  6. Step 6: Final answer
    x = 630,157.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.