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Finding the Third Proportional to 514,383.75 and 764,124

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Solution

The third proportional to 514,383.75 and 764,124 is: 1,135,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,383.75 : 764,124 = 764,124 : x
  2. Step 2: Convert to fraction form
    514,383.75/764,124 = 764,124/x
  3. Step 3: Cross multiply
    514,383.75x = 764,124 × 764,124
  4. Step 4: Simplify right side
    514,383.75x = 583,885,487,376
  5. Step 5: Solve for x
    x = 583,885,487,376/514,383.75
  6. Step 6: Final answer
    x = 1,135,116.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.