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Finding the Third Proportional to 337,807.50 and 734,025

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Solution

The third proportional to 337,807.50 and 734,025 is: 1,594,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,807.50 : 734,025 = 734,025 : x
  2. Step 2: Convert to fraction form
    337,807.50/734,025 = 734,025/x
  3. Step 3: Cross multiply
    337,807.50x = 734,025 × 734,025
  4. Step 4: Simplify right side
    337,807.50x = 538,792,700,625
  5. Step 5: Solve for x
    x = 538,792,700,625/337,807.50
  6. Step 6: Final answer
    x = 1,594,969.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.