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Finding the Third Proportional to 395,473.50 and 853,155

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Solution

The third proportional to 395,473.50 and 853,155 is: 1,840,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,473.50 : 853,155 = 853,155 : x
  2. Step 2: Convert to fraction form
    395,473.50/853,155 = 853,155/x
  3. Step 3: Cross multiply
    395,473.50x = 853,155 × 853,155
  4. Step 4: Simplify right side
    395,473.50x = 727,873,454,025
  5. Step 5: Solve for x
    x = 727,873,454,025/395,473.50
  6. Step 6: Final answer
    x = 1,840,511.32

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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.