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Finding the Third Proportional to 361,468.50 and 785,162

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Solution

The third proportional to 361,468.50 and 785,162 is: 1,705,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,468.50 : 785,162 = 785,162 : x
  2. Step 2: Convert to fraction form
    361,468.50/785,162 = 785,162/x
  3. Step 3: Cross multiply
    361,468.50x = 785,162 × 785,162
  4. Step 4: Simplify right side
    361,468.50x = 616,479,366,244
  5. Step 5: Solve for x
    x = 616,479,366,244/361,468.50
  6. Step 6: Final answer
    x = 1,705,485.72

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Why These Related Problems?

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