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Finding the Third Proportional to 344,695.50 and 514,977.75

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Solution

The third proportional to 344,695.50 and 514,977.75 is: 769,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,695.50 : 514,977.75 = 514,977.75 : x
  2. Step 2: Convert to fraction form
    344,695.50/514,977.75 = 514,977.75/x
  3. Step 3: Cross multiply
    344,695.50x = 514,977.75 × 514,977.75
  4. Step 4: Simplify right side
    344,695.50x = 265,202,082,995.06
  5. Step 5: Solve for x
    x = 265,202,082,995.06/344,695.50
  6. Step 6: Final answer
    x = 769,380.75

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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.