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Finding the Third Proportional to 405,136 and 873,069.50

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Solution

The third proportional to 405,136 and 873,069.50 is: 1,881,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,136 : 873,069.50 = 873,069.50 : x
  2. Step 2: Convert to fraction form
    405,136/873,069.50 = 873,069.50/x
  3. Step 3: Cross multiply
    405,136x = 873,069.50 × 873,069.50
  4. Step 4: Simplify right side
    405,136x = 762,250,351,830.25
  5. Step 5: Solve for x
    x = 762,250,351,830.25/405,136
  6. Step 6: Final answer
    x = 1,881,467.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.