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Finding the Third Proportional to 587,202.75 and 1,251,311.63

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Solution

The third proportional to 587,202.75 and 1,251,311.63 is: 2,666,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,202.75 : 1,251,311.63 = 1,251,311.63 : x
  2. Step 2: Convert to fraction form
    587,202.75/1,251,311.63 = 1,251,311.63/x
  3. Step 3: Cross multiply
    587,202.75x = 1,251,311.63 × 1,251,311.63
  4. Step 4: Simplify right side
    587,202.75x = 1,565,780,782,860.14
  5. Step 5: Solve for x
    x = 1,565,780,782,860.14/587,202.75
  6. Step 6: Final answer
    x = 2,666,507.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.