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Finding the Third Proportional to 395,021.25 and 837,103.50

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Solution

The third proportional to 395,021.25 and 837,103.50 is: 1,773,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,021.25 : 837,103.50 = 837,103.50 : x
  2. Step 2: Convert to fraction form
    395,021.25/837,103.50 = 837,103.50/x
  3. Step 3: Cross multiply
    395,021.25x = 837,103.50 × 837,103.50
  4. Step 4: Simplify right side
    395,021.25x = 700,742,269,712.25
  5. Step 5: Solve for x
    x = 700,742,269,712.25/395,021.25
  6. Step 6: Final answer
    x = 1,773,935.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.