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Finding the Third Proportional to 641,194.50 and 996,793.50

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Solution

The third proportional to 641,194.50 and 996,793.50 is: 1,549,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,194.50 : 996,793.50 = 996,793.50 : x
  2. Step 2: Convert to fraction form
    641,194.50/996,793.50 = 996,793.50/x
  3. Step 3: Cross multiply
    641,194.50x = 996,793.50 × 996,793.50
  4. Step 4: Simplify right side
    641,194.50x = 993,597,281,642.25
  5. Step 5: Solve for x
    x = 993,597,281,642.25/641,194.50
  6. Step 6: Final answer
    x = 1,549,603.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.