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Finding the Third Proportional to 270,612 and 587,325.50

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Solution

The third proportional to 270,612 and 587,325.50 is: 1,274,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,612 : 587,325.50 = 587,325.50 : x
  2. Step 2: Convert to fraction form
    270,612/587,325.50 = 587,325.50/x
  3. Step 3: Cross multiply
    270,612x = 587,325.50 × 587,325.50
  4. Step 4: Simplify right side
    270,612x = 344,951,242,950.25
  5. Step 5: Solve for x
    x = 344,951,242,950.25/270,612
  6. Step 6: Final answer
    x = 1,274,707.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.