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Finding the Third Proportional to 392,167.83 and 831,424.50

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Solution

The third proportional to 392,167.83 and 831,424.50 is: 1,762,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,167.83 : 831,424.50 = 831,424.50 : x
  2. Step 2: Convert to fraction form
    392,167.83/831,424.50 = 831,424.50/x
  3. Step 3: Cross multiply
    392,167.83x = 831,424.50 × 831,424.50
  4. Step 4: Simplify right side
    392,167.83x = 691,266,699,200.25
  5. Step 5: Solve for x
    x = 691,266,699,200.25/392,167.83
  6. Step 6: Final answer
    x = 1,762,680.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.