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Finding the Third Proportional to 258,166.69 and 559,222.88

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Solution

The third proportional to 258,166.69 and 559,222.88 is: 1,211,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,166.69 : 559,222.88 = 559,222.88 : x
  2. Step 2: Convert to fraction form
    258,166.69/559,222.88 = 559,222.88/x
  3. Step 3: Cross multiply
    258,166.69x = 559,222.88 × 559,222.88
  4. Step 4: Simplify right side
    258,166.69x = 312,730,223,923.27
  5. Step 5: Solve for x
    x = 312,730,223,923.27/258,166.69
  6. Step 6: Final answer
    x = 1,211,350.03

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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.