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Finding the Third Proportional to 358,239.38 and 522,591.75

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Solution

The third proportional to 358,239.38 and 522,591.75 is: 762,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,239.38 : 522,591.75 = 522,591.75 : x
  2. Step 2: Convert to fraction form
    358,239.38/522,591.75 = 522,591.75/x
  3. Step 3: Cross multiply
    358,239.38x = 522,591.75 × 522,591.75
  4. Step 4: Simplify right side
    358,239.38x = 273,102,137,168.06
  5. Step 5: Solve for x
    x = 273,102,137,168.06/358,239.38
  6. Step 6: Final answer
    x = 762,345.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.