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Finding the Third Proportional to 361,804.50 and 771,687

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Solution

The third proportional to 361,804.50 and 771,687 is: 1,645,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.50 : 771,687 = 771,687 : x
  2. Step 2: Convert to fraction form
    361,804.50/771,687 = 771,687/x
  3. Step 3: Cross multiply
    361,804.50x = 771,687 × 771,687
  4. Step 4: Simplify right side
    361,804.50x = 595,500,825,969
  5. Step 5: Solve for x
    x = 595,500,825,969/361,804.50
  6. Step 6: Final answer
    x = 1,645,918.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.