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Finding the Third Proportional to 405,595.50 and 636,229.50

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Solution

The third proportional to 405,595.50 and 636,229.50 is: 998,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,595.50 : 636,229.50 = 636,229.50 : x
  2. Step 2: Convert to fraction form
    405,595.50/636,229.50 = 636,229.50/x
  3. Step 3: Cross multiply
    405,595.50x = 636,229.50 × 636,229.50
  4. Step 4: Simplify right side
    405,595.50x = 404,787,976,670.25
  5. Step 5: Solve for x
    x = 404,787,976,670.25/405,595.50
  6. Step 6: Final answer
    x = 998,009.04

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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.