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Finding the Third Proportional to 363,171 and 600,196.50

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Solution

The third proportional to 363,171 and 600,196.50 is: 991,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,171 : 600,196.50 = 600,196.50 : x
  2. Step 2: Convert to fraction form
    363,171/600,196.50 = 600,196.50/x
  3. Step 3: Cross multiply
    363,171x = 600,196.50 × 600,196.50
  4. Step 4: Simplify right side
    363,171x = 360,235,838,612.25
  5. Step 5: Solve for x
    x = 360,235,838,612.25/363,171
  6. Step 6: Final answer
    x = 991,917.96

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.