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Finding the Third Proportional to 405,684 and 636,376.50

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Solution

The third proportional to 405,684 and 636,376.50 is: 998,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,684 : 636,376.50 = 636,376.50 : x
  2. Step 2: Convert to fraction form
    405,684/636,376.50 = 636,376.50/x
  3. Step 3: Cross multiply
    405,684x = 636,376.50 × 636,376.50
  4. Step 4: Simplify right side
    405,684x = 404,975,049,752.25
  5. Step 5: Solve for x
    x = 404,975,049,752.25/405,684
  6. Step 6: Final answer
    x = 998,252.46

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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.