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Finding the Third Proportional to 389,103.75 and 846,382.50

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Solution

The third proportional to 389,103.75 and 846,382.50 is: 1,841,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,103.75 : 846,382.50 = 846,382.50 : x
  2. Step 2: Convert to fraction form
    389,103.75/846,382.50 = 846,382.50/x
  3. Step 3: Cross multiply
    389,103.75x = 846,382.50 × 846,382.50
  4. Step 4: Simplify right side
    389,103.75x = 716,363,336,306.25
  5. Step 5: Solve for x
    x = 716,363,336,306.25/389,103.75
  6. Step 6: Final answer
    x = 1,841,059.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.