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Finding the Third Proportional to 395,455.50 and 853,119

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Solution

The third proportional to 395,455.50 and 853,119 is: 1,840,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,455.50 : 853,119 = 853,119 : x
  2. Step 2: Convert to fraction form
    395,455.50/853,119 = 853,119/x
  3. Step 3: Cross multiply
    395,455.50x = 853,119 × 853,119
  4. Step 4: Simplify right side
    395,455.50x = 727,812,028,161
  5. Step 5: Solve for x
    x = 727,812,028,161/395,455.50
  6. Step 6: Final answer
    x = 1,840,439.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.