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Finding the Third Proportional to 358,969.50 and 777,375

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Solution

The third proportional to 358,969.50 and 777,375 is: 1,683,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,969.50 : 777,375 = 777,375 : x
  2. Step 2: Convert to fraction form
    358,969.50/777,375 = 777,375/x
  3. Step 3: Cross multiply
    358,969.50x = 777,375 × 777,375
  4. Step 4: Simplify right side
    358,969.50x = 604,311,890,625
  5. Step 5: Solve for x
    x = 604,311,890,625/358,969.50
  6. Step 6: Final answer
    x = 1,683,463.05

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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.