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Finding the Third Proportional to 331,149.50 and 524,586.75

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Solution

The third proportional to 331,149.50 and 524,586.75 is: 831,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,149.50 : 524,586.75 = 524,586.75 : x
  2. Step 2: Convert to fraction form
    331,149.50/524,586.75 = 524,586.75/x
  3. Step 3: Cross multiply
    331,149.50x = 524,586.75 × 524,586.75
  4. Step 4: Simplify right side
    331,149.50x = 275,191,258,275.56
  5. Step 5: Solve for x
    x = 275,191,258,275.56/331,149.50
  6. Step 6: Final answer
    x = 831,018.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.