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Finding the Third Proportional to 268,273.27 and 583,140.09

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Solution

The third proportional to 268,273.27 and 583,140.09 is: 1,267,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,273.27 : 583,140.09 = 583,140.09 : x
  2. Step 2: Convert to fraction form
    268,273.27/583,140.09 = 583,140.09/x
  3. Step 3: Cross multiply
    268,273.27x = 583,140.09 × 583,140.09
  4. Step 4: Simplify right side
    268,273.27x = 340,052,368,938.76
  5. Step 5: Solve for x
    x = 340,052,368,938.76/268,273.27
  6. Step 6: Final answer
    x = 1,267,559.66

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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.