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Finding the Third Proportional to 443,516.25 and 694,945.50

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Solution

The third proportional to 443,516.25 and 694,945.50 is: 1,088,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,516.25 : 694,945.50 = 694,945.50 : x
  2. Step 2: Convert to fraction form
    443,516.25/694,945.50 = 694,945.50/x
  3. Step 3: Cross multiply
    443,516.25x = 694,945.50 × 694,945.50
  4. Step 4: Simplify right side
    443,516.25x = 482,949,247,970.25
  5. Step 5: Solve for x
    x = 482,949,247,970.25/443,516.25
  6. Step 6: Final answer
    x = 1,088,909.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.