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Finding the Third Proportional to 267,231.38 and 556,575.75

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Solution

The third proportional to 267,231.38 and 556,575.75 is: 1,159,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,231.38 : 556,575.75 = 556,575.75 : x
  2. Step 2: Convert to fraction form
    267,231.38/556,575.75 = 556,575.75/x
  3. Step 3: Cross multiply
    267,231.38x = 556,575.75 × 556,575.75
  4. Step 4: Simplify right side
    267,231.38x = 309,776,565,488.06
  5. Step 5: Solve for x
    x = 309,776,565,488.06/267,231.38
  6. Step 6: Final answer
    x = 1,159,207.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.