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Finding the Third Proportional to 343,428.50 and 744,025

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Solution

The third proportional to 343,428.50 and 744,025 is: 1,611,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,428.50 : 744,025 = 744,025 : x
  2. Step 2: Convert to fraction form
    343,428.50/744,025 = 744,025/x
  3. Step 3: Cross multiply
    343,428.50x = 744,025 × 744,025
  4. Step 4: Simplify right side
    343,428.50x = 553,573,200,625
  5. Step 5: Solve for x
    x = 553,573,200,625/343,428.50
  6. Step 6: Final answer
    x = 1,611,902.33

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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.