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Finding the Third Proportional to 344,675.50 and 729,095

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Solution

The third proportional to 344,675.50 and 729,095 is: 1,542,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,675.50 : 729,095 = 729,095 : x
  2. Step 2: Convert to fraction form
    344,675.50/729,095 = 729,095/x
  3. Step 3: Cross multiply
    344,675.50x = 729,095 × 729,095
  4. Step 4: Simplify right side
    344,675.50x = 531,579,519,025
  5. Step 5: Solve for x
    x = 531,579,519,025/344,675.50
  6. Step 6: Final answer
    x = 1,542,260.82

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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.