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Finding the Third Proportional to 231,692 and 507,664.50

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Solution

The third proportional to 231,692 and 507,664.50 is: 1,112,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,692 : 507,664.50 = 507,664.50 : x
  2. Step 2: Convert to fraction form
    231,692/507,664.50 = 507,664.50/x
  3. Step 3: Cross multiply
    231,692x = 507,664.50 × 507,664.50
  4. Step 4: Simplify right side
    231,692x = 257,723,244,560.25
  5. Step 5: Solve for x
    x = 257,723,244,560.25/231,692
  6. Step 6: Final answer
    x = 1,112,352.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.