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Finding the Third Proportional to 270,222.56 and 586,596.94

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Solution

The third proportional to 270,222.56 and 586,596.94 is: 1,273,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,222.56 : 586,596.94 = 586,596.94 : x
  2. Step 2: Convert to fraction form
    270,222.56/586,596.94 = 586,596.94/x
  3. Step 3: Cross multiply
    270,222.56x = 586,596.94 × 586,596.94
  4. Step 4: Simplify right side
    270,222.56x = 344,095,967,084.38
  5. Step 5: Solve for x
    x = 344,095,967,084.38/270,222.56
  6. Step 6: Final answer
    x = 1,273,379.85

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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.